---
_id: '2468'
abstract:
- lang: eng
  text: Our work concerns the combination of an Eulerian liquid simulation with a
    high-resolution surface tracker (e.g. the level set method or a Lagrangian triangle
    mesh). The naive application of a high-resolution surface tracker to a low-resolution
    velocity field can produce many visually disturbing physical and topological artifacts
    that limit their use in practice. We address these problems by defining an error
    function which compares the current state of the surface tracker to the set of
    physically valid surface states. By reducing this error with a gradient descent
    technique, we introduce a novel physics-based surface fairing method. Similarly,
    by treating this error function as a potential energy, we derive a new surface
    correction force that mimics the vortex sheet equations. We demonstrate our results
    with both level set and mesh-based surface trackers.
article_number: '68'
article_processing_charge: No
author:
- first_name: Morten
  full_name: Bojsen-Hansen, Morten
  id: 439F0C8C-F248-11E8-B48F-1D18A9856A87
  last_name: Bojsen-Hansen
  orcid: 0000-0002-4417-3224
- first_name: Christopher J
  full_name: Wojtan, Christopher J
  id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
  last_name: Wojtan
  orcid: 0000-0001-6646-5546
citation:
  ama: Bojsen-Hansen M, Wojtan C. Liquid surface tracking with error compensation.
    <i>ACM Transactions on Graphics</i>. 2013;32(4). doi:<a href="https://doi.org/10.1145/2461912.2461991">10.1145/2461912.2461991</a>
  apa: Bojsen-Hansen, M., &#38; Wojtan, C. (2013). Liquid surface tracking with error
    compensation. <i>ACM Transactions on Graphics</i>. ACM. <a href="https://doi.org/10.1145/2461912.2461991">https://doi.org/10.1145/2461912.2461991</a>
  chicago: Bojsen-Hansen, Morten, and Chris Wojtan. “Liquid Surface Tracking with
    Error Compensation.” <i>ACM Transactions on Graphics</i>. ACM, 2013. <a href="https://doi.org/10.1145/2461912.2461991">https://doi.org/10.1145/2461912.2461991</a>.
  ieee: M. Bojsen-Hansen and C. Wojtan, “Liquid surface tracking with error compensation,”
    <i>ACM Transactions on Graphics</i>, vol. 32, no. 4. ACM, 2013.
  ista: Bojsen-Hansen M, Wojtan C. 2013. Liquid surface tracking with error compensation.
    ACM Transactions on Graphics. 32(4), 68.
  mla: Bojsen-Hansen, Morten, and Chris Wojtan. “Liquid Surface Tracking with Error
    Compensation.” <i>ACM Transactions on Graphics</i>, vol. 32, no. 4, 68, ACM, 2013,
    doi:<a href="https://doi.org/10.1145/2461912.2461991">10.1145/2461912.2461991</a>.
  short: M. Bojsen-Hansen, C. Wojtan, ACM Transactions on Graphics 32 (2013).
corr_author: '1'
date_created: 2018-12-11T11:57:50Z
date_published: 2013-07-01T00:00:00Z
date_updated: 2025-09-29T14:12:53Z
day: '01'
ddc:
- '000'
department:
- _id: ChWo
doi: 10.1145/2461912.2461991
external_id:
  isi:
  - '000321840100037'
file:
- access_level: open_access
  checksum: 53d905e0180e23ef3e813b969ffed4e1
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:09:37Z
  date_updated: 2020-07-14T12:45:41Z
  file_id: '4761'
  file_name: IST-2016-603-v1+1_liquidError_web.pdf
  file_size: 5813685
  relation: main_file
file_date_updated: 2020-07-14T12:45:41Z
has_accepted_license: '1'
intvolume: '        32'
isi: 1
issue: '4'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
publication: ACM Transactions on Graphics
publication_status: published
publisher: ACM
publist_id: '4434'
pubrep_id: '603'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Liquid surface tracking with error compensation
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 32
year: '2013'
...
---
_id: '3118'
abstract:
- lang: eng
  text: We present a method for recovering a temporally coherent, deforming triangle
    mesh with arbitrarily changing topology from an incoherent sequence of static
    closed surfaces. We solve this problem using the surface geometry alone, without
    any prior information like surface templates or velocity fields. Our system combines
    a proven strategy for triangle mesh improvement, a robust multi-resolution non-rigid
    registration routine, and a reliable technique for changing surface mesh topology.
    We also introduce a novel topological constraint enforcement algorithm to ensure
    that the output and input always have similar topology. We apply our technique
    to a series of diverse input data from video reconstructions, physics simulations,
    and artistic morphs. The structured output of our algorithm allows us to efficiently
    track information like colors and displacement maps, recover velocity information,
    and solve PDEs on the mesh as a post process.
acknowledgement: "This work is supported by the SNF fellowship PBEZP2-134464.\r\nWe
  would like to thank Xiaochen Hu for implementing mesh con- version tools, Duygu
  Ceylan for helping with the rendering, and Art Tevs for the human performance data
  comparison. We also thank Nils Thuerey and Christopher Batty for helpful discussions. "
alternative_title:
- SIGGRAPH
article_number: '53'
article_processing_charge: No
article_type: original
author:
- first_name: Morten
  full_name: Bojsen-Hansen, Morten
  id: 439F0C8C-F248-11E8-B48F-1D18A9856A87
  last_name: Bojsen-Hansen
  orcid: 0000-0002-4417-3224
- first_name: Hao
  full_name: Li, Hao
  last_name: Li
- first_name: Christopher J
  full_name: Wojtan, Christopher J
  id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
  last_name: Wojtan
  orcid: 0000-0001-6646-5546
citation:
  ama: Bojsen-Hansen M, Li H, Wojtan C. Tracking surfaces with evolving topology.
    <i>ACM Transactions on Graphics</i>. 2012;31(4). doi:<a href="https://doi.org/10.1145/2185520.2185549">10.1145/2185520.2185549</a>
  apa: Bojsen-Hansen, M., Li, H., &#38; Wojtan, C. (2012). Tracking surfaces with
    evolving topology. <i>ACM Transactions on Graphics</i>. ACM. <a href="https://doi.org/10.1145/2185520.2185549">https://doi.org/10.1145/2185520.2185549</a>
  chicago: Bojsen-Hansen, Morten, Hao Li, and Chris Wojtan. “Tracking Surfaces with
    Evolving Topology.” <i>ACM Transactions on Graphics</i>. ACM, 2012. <a href="https://doi.org/10.1145/2185520.2185549">https://doi.org/10.1145/2185520.2185549</a>.
  ieee: M. Bojsen-Hansen, H. Li, and C. Wojtan, “Tracking surfaces with evolving topology,”
    <i>ACM Transactions on Graphics</i>, vol. 31, no. 4. ACM, 2012.
  ista: Bojsen-Hansen M, Li H, Wojtan C. 2012. Tracking surfaces with evolving topology.
    ACM Transactions on Graphics. 31(4), 53.
  mla: Bojsen-Hansen, Morten, et al. “Tracking Surfaces with Evolving Topology.” <i>ACM
    Transactions on Graphics</i>, vol. 31, no. 4, 53, ACM, 2012, doi:<a href="https://doi.org/10.1145/2185520.2185549">10.1145/2185520.2185549</a>.
  short: M. Bojsen-Hansen, H. Li, C. Wojtan, ACM Transactions on Graphics 31 (2012).
corr_author: '1'
date_created: 2018-12-11T12:01:29Z
date_published: 2012-07-01T00:00:00Z
date_updated: 2025-09-30T08:00:23Z
day: '01'
ddc:
- '000'
department:
- _id: ChWo
doi: 10.1145/2185520.2185549
external_id:
  isi:
  - '000308250300029'
file:
- access_level: open_access
  checksum: 1e219c5bf4e5552c1290c62eefa5cd60
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:18:37Z
  date_updated: 2020-07-14T12:46:00Z
  file_id: '5359'
  file_name: IST-2016-602-v1+1_topoReg.pdf
  file_size: 44538518
  relation: main_file
file_date_updated: 2020-07-14T12:46:00Z
has_accepted_license: '1'
intvolume: '        31'
isi: 1
issue: '4'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
publication: ACM Transactions on Graphics
publication_status: published
publisher: ACM
publist_id: '3581'
pubrep_id: '602'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Tracking surfaces with evolving topology
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 31
year: '2012'
...
---
_id: '3119'
abstract:
- lang: eng
  text: "We present an approach for artist-directed animation of liquids using multiple
    levels of control over the simulation, ranging from the overall tracking of desired
    shapes to highly detailed secondary effects such as dripping streams, separating
    sheets of fluid, surface waves and ripples. The first portion of our technique
    is a volume preserving morph that allows the animator to produce a plausible fluid-like
    motion from a sparse set of control meshes. By rasterizing the resulting control
    meshes onto the simulation grid, the mesh velocities act as boundary conditions
    during the projection step of the fluid simulation. We can then blend this motion
    together with uncontrolled fluid velocities to achieve a more relaxed control
    over the fluid that captures natural inertial effects. Our method can produce
    highly detailed liquid surfaces with control over sub-grid details by using a
    mesh-based surface tracker on top of a coarse grid-based fluid simulation. We
    can create ripples and waves on the fluid surface attracting the surface mesh
    to the control mesh with spring-like forces and also by running a wave simulation
    over the surface mesh. Our video results demonstrate how our control scheme can
    be used to create animated characters and shapes that are made of water.\r\n"
acknowledgement: This work was partially funded by NSF grants CCF-0811485 and IIS-1130934.
  We would like to thank Scanline VFX for additional funding. We would like to thank
  Jie Tan as well as our anonymous reviewers for their useful suggestions and feedback.
author:
- first_name: Karthik
  full_name: Raveendran, Karthik
  last_name: Raveendran
- first_name: Nils
  full_name: Thuerey, Nils
  last_name: Thuerey
- first_name: Christopher J
  full_name: Wojtan, Christopher J
  id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
  last_name: Wojtan
  orcid: 0000-0001-6646-5546
- first_name: Greg
  full_name: Turk, Greg
  last_name: Turk
citation:
  ama: 'Raveendran K, Thuerey N, Wojtan C, Turk G. Controlling liquids using meshes.
    In: <i>Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation</i>.
    ACM; 2012:255-264.'
  apa: 'Raveendran, K., Thuerey, N., Wojtan, C., &#38; Turk, G. (2012). Controlling
    liquids using meshes. In <i>Proceedings of the ACM SIGGRAPH/Eurographics Symposium
    on Computer Animation</i> (pp. 255–264). Aire-la-Ville, Switzerland: ACM.'
  chicago: Raveendran, Karthik, Nils Thuerey, Chris Wojtan, and Greg Turk. “Controlling
    Liquids Using Meshes.” In <i>Proceedings of the ACM SIGGRAPH/Eurographics Symposium
    on Computer Animation</i>, 255–64. ACM, 2012.
  ieee: K. Raveendran, N. Thuerey, C. Wojtan, and G. Turk, “Controlling liquids using
    meshes,” in <i>Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer
    Animation</i>, Aire-la-Ville, Switzerland, 2012, pp. 255–264.
  ista: 'Raveendran K, Thuerey N, Wojtan C, Turk G. 2012. Controlling liquids using
    meshes. Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation.
    SCA: ACM SIGGRAPH/Eurographics Symposium on Computer animation, 255–264.'
  mla: Raveendran, Karthik, et al. “Controlling Liquids Using Meshes.” <i>Proceedings
    of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation</i>, ACM, 2012,
    pp. 255–64.
  short: K. Raveendran, N. Thuerey, C. Wojtan, G. Turk, in:, Proceedings of the ACM
    SIGGRAPH/Eurographics Symposium on Computer Animation, ACM, 2012, pp. 255–264.
conference:
  end_date: 2012-07-31
  location: Aire-la-Ville, Switzerland
  name: 'SCA: ACM SIGGRAPH/Eurographics Symposium on Computer animation'
  start_date: 2012-07-29
date_created: 2018-12-11T12:01:30Z
date_published: 2012-07-29T00:00:00Z
date_updated: 2023-02-23T11:13:07Z
day: '29'
ddc:
- '000'
department:
- _id: ChWo
file:
- access_level: open_access
  checksum: babda64c24cf90a4d05ae86d712bed08
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:11:23Z
  date_updated: 2020-07-14T12:46:00Z
  file_id: '4877'
  file_name: IST-2016-600-v1+1_ControllingLiquids_Preprint.pdf
  file_size: 4939370
  relation: main_file
file_date_updated: 2020-07-14T12:46:00Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 255 - 264
publication: Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
publication_status: published
publisher: ACM
publist_id: '3580'
pubrep_id: '600'
quality_controlled: '1'
related_material:
  link:
  - relation: table_of_contents
    url: http://dl.acm.org/citation.cfm?id=2422393
scopus_import: 1
status: public
title: Controlling liquids using meshes
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2012'
...
---
_id: '3123'
abstract:
- lang: eng
  text: We introduce the idea of using an explicit triangle mesh to track the air/fluid
    interface in a smoothed particle hydrodynamics (SPH) simulator. Once an initial
    surface mesh is created, this mesh is carried forward in time using nearby particle
    velocities to advect the mesh vertices. The mesh connectivity remains mostly unchanged
    across time-steps; it is only modified locally for topology change events or for
    the improvement of triangle quality. In order to ensure that the surface mesh
    does not diverge from the underlying particle simulation, we periodically project
    the mesh surface onto an implicit surface defined by the physics simulation. The
    mesh surface gives us several advantages over previous SPH surface tracking techniques.
    We demonstrate a new method for surface tension calculations that clearly outperforms
    the state of the art in SPH surface tension for computer graphics. We also demonstrate
    a method for tracking detailed surface information (like colors) that is less
    susceptible to numerical diffusion than competing techniques. Finally, our temporally-coherent
    surface mesh allows us to simulate high-resolution surface wave dynamics without
    being limited by the particle resolution of the SPH simulation.
acknowledgement: This work was funded by NSF grant IIS-1017014 and CCF- 0917093.
alternative_title:
- Eurographics
article_processing_charge: No
author:
- first_name: Jihun
  full_name: Yu, Jihun
  last_name: Yu
- first_name: Christopher J
  full_name: Wojtan, Christopher J
  id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
  last_name: Wojtan
  orcid: 0000-0001-6646-5546
- first_name: Greg
  full_name: Turk, Greg
  last_name: Turk
- first_name: Chee
  full_name: Yap, Chee
  last_name: Yap
citation:
  ama: 'Yu J, Wojtan C, Turk G, Yap C. Explicit mesh surfaces for particle based fluids.
    In: <i>Computer Graphics Forum</i>. Vol 31. Wiley; 2012:815-824. doi:<a href="https://doi.org/10.1111/j.1467-8659.2012.03062.x">10.1111/j.1467-8659.2012.03062.x</a>'
  apa: 'Yu, J., Wojtan, C., Turk, G., &#38; Yap, C. (2012). Explicit mesh surfaces
    for particle based fluids. In <i>Computer Graphics Forum</i> (Vol. 31, pp. 815–824).
    Cagliari, Sardinia, Italy: Wiley. <a href="https://doi.org/10.1111/j.1467-8659.2012.03062.x">https://doi.org/10.1111/j.1467-8659.2012.03062.x</a>'
  chicago: Yu, Jihun, Chris Wojtan, Greg Turk, and Chee Yap. “Explicit Mesh Surfaces
    for Particle Based Fluids.” In <i>Computer Graphics Forum</i>, 31:815–24. Wiley,
    2012. <a href="https://doi.org/10.1111/j.1467-8659.2012.03062.x">https://doi.org/10.1111/j.1467-8659.2012.03062.x</a>.
  ieee: J. Yu, C. Wojtan, G. Turk, and C. Yap, “Explicit mesh surfaces for particle
    based fluids,” in <i>Computer Graphics Forum</i>, Cagliari, Sardinia, Italy, 2012,
    vol. 31, no. 2, pp. 815–824.
  ista: 'Yu J, Wojtan C, Turk G, Yap C. 2012. Explicit mesh surfaces for particle
    based fluids. Computer Graphics Forum. EUROGRAPHICS: Conference on European Association
    for Computer Graphics, Eurographics, vol. 31, 815–824.'
  mla: Yu, Jihun, et al. “Explicit Mesh Surfaces for Particle Based Fluids.” <i>Computer
    Graphics Forum</i>, vol. 31, no. 2, Wiley, 2012, pp. 815–24, doi:<a href="https://doi.org/10.1111/j.1467-8659.2012.03062.x">10.1111/j.1467-8659.2012.03062.x</a>.
  short: J. Yu, C. Wojtan, G. Turk, C. Yap, in:, Computer Graphics Forum, Wiley, 2012,
    pp. 815–824.
conference:
  end_date: 2012-05-18
  location: Cagliari, Sardinia, Italy
  name: 'EUROGRAPHICS: Conference on European Association for Computer Graphics'
  start_date: 2012-05-13
date_created: 2018-12-11T12:01:31Z
date_published: 2012-05-01T00:00:00Z
date_updated: 2025-09-30T07:58:32Z
day: '01'
ddc:
- '000'
department:
- _id: ChWo
doi: 10.1111/j.1467-8659.2012.03062.x
external_id:
  isi:
  - '000306182500009'
file:
- access_level: open_access
  checksum: acb325dd1e31859bedd30e013f61d0b9
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:14:39Z
  date_updated: 2020-07-14T12:46:00Z
  file_id: '5092'
  file_name: IST-2016-601-v1+1_meshSPH.pdf
  file_size: 5740527
  relation: main_file
file_date_updated: 2020-07-14T12:46:00Z
has_accepted_license: '1'
intvolume: '        31'
isi: 1
issue: '2'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Submitted Version
page: 815 - 824
publication: Computer Graphics Forum
publication_identifier:
  eissn:
  - 1467-8659
  issn:
  - 0167-7055
publication_status: published
publisher: Wiley
publist_id: '3576'
pubrep_id: '601'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Explicit mesh surfaces for particle based fluids
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 31
year: '2012'
...
---
_id: '3297'
abstract:
- lang: eng
  text: "Animating detailed liquid surfaces has always been a challenge for computer
    graphics researchers and visual effects artists. Over the past few years, researchers
    in this field have focused on mesh-based surface tracking to synthesize extremely
    detailed liquid surfaces as efficiently as possible. This course provides a solid
    understanding of the steps required to create a fluid simulator with a mesh-based
    liquid surface.\r\n\r\nThe course begins with an overview of several existing
    liquid-surface-tracking techniques and the pros and cons of each method. Then
    it explains how to embed a triangle mesh into a finite-difference-based fluid
    simulator and describes several methods for allowing the liquid surface to merge
    together or break apart. The final section showcases the benefits and further
    applications of a mesh-based liquid surface, highlighting state-of-the-art methods
    for tracking colors and textures, maintaining liquid volume, preserving small
    surface features, and simulating realistic surface-tension waves."
article_number: '8'
author:
- first_name: Christopher J
  full_name: Wojtan, Christopher J
  id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
  last_name: Wojtan
  orcid: 0000-0001-6646-5546
- first_name: Matthias
  full_name: Müller Fischer, Matthias
  last_name: Müller Fischer
- first_name: Tyson
  full_name: Brochu, Tyson
  last_name: Brochu
citation:
  ama: 'Wojtan C, Müller Fischer M, Brochu T. Liquid simulation with mesh-based surface
    tracking. In: ACM; 2011. doi:<a href="https://doi.org/10.1145/2037636.2037644">10.1145/2037636.2037644</a>'
  apa: 'Wojtan, C., Müller Fischer, M., &#38; Brochu, T. (2011). Liquid simulation
    with mesh-based surface tracking. Presented at the SIGGRAPH: Special Interest
    Group on Computer Graphics and Interactive Techniques, Vancouver, BC, Canada:
    ACM. <a href="https://doi.org/10.1145/2037636.2037644">https://doi.org/10.1145/2037636.2037644</a>'
  chicago: Wojtan, Chris, Matthias Müller Fischer, and Tyson Brochu. “Liquid Simulation
    with Mesh-Based Surface Tracking.” ACM, 2011. <a href="https://doi.org/10.1145/2037636.2037644">https://doi.org/10.1145/2037636.2037644</a>.
  ieee: 'C. Wojtan, M. Müller Fischer, and T. Brochu, “Liquid simulation with mesh-based
    surface tracking,” presented at the SIGGRAPH: Special Interest Group on Computer
    Graphics and Interactive Techniques, Vancouver, BC, Canada, 2011.'
  ista: 'Wojtan C, Müller Fischer M, Brochu T. 2011. Liquid simulation with mesh-based
    surface tracking. SIGGRAPH: Special Interest Group on Computer Graphics and Interactive
    Techniques, 8.'
  mla: Wojtan, Chris, et al. <i>Liquid Simulation with Mesh-Based Surface Tracking</i>.
    8, ACM, 2011, doi:<a href="https://doi.org/10.1145/2037636.2037644">10.1145/2037636.2037644</a>.
  short: C. Wojtan, M. Müller Fischer, T. Brochu, in:, ACM, 2011.
conference:
  end_date: 2011-08-11
  location: Vancouver, BC, Canada
  name: 'SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques'
  start_date: 2011-08-07
corr_author: '1'
date_created: 2018-12-11T12:02:31Z
date_published: 2011-08-07T00:00:00Z
date_updated: 2024-10-09T20:54:35Z
day: '07'
ddc:
- '000'
department:
- _id: ChWo
doi: 10.1145/2037636.2037644
file:
- access_level: open_access
  checksum: 8d508ad7c82f50978acbaa4170ee0a75
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:13:34Z
  date_updated: 2020-07-14T12:46:06Z
  file_id: '5018'
  file_name: IST-2016-599-v1+1_meshyFluidsCourseSIGGRAPH2011.pdf
  file_size: 34672096
  relation: main_file
file_date_updated: 2020-07-14T12:46:06Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
publication_status: published
publisher: ACM
publist_id: '3344'
pubrep_id: '599'
quality_controlled: '1'
scopus_import: 1
status: public
title: Liquid simulation with mesh-based surface tracking
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3298'
abstract:
- lang: eng
  text: We present a new algorithm for enforcing incompressibility for Smoothed Particle
    Hydrodynamics (SPH) by preserving uniform density across the domain. We propose
    a hybrid method that uses a Poisson solve on a coarse grid to enforce a divergence
    free velocity ﬁeld, followed by a local density correction of the particles. This
    avoids typical grid artifacts and maintains the Lagrangian nature of SPH by directly
    transferring pressures onto particles. Our method can be easily integrated with
    existing SPH techniques such as the incompressible PCISPH method as well as weakly
    compressible SPH by adding an additional force term. We show that this hybrid
    method accelerates convergence towards uniform density and permits a signiﬁcantly
    larger time step compared to earlier approaches while producing similar results.
    We demonstrate our approach in a variety of scenarios with signiﬁcant pressure
    gradients such as splashing liquids.
author:
- first_name: Karthik
  full_name: Raveendran, Karthik
  last_name: Raveendran
- first_name: Christopher J
  full_name: Wojtan, Christopher J
  id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
  last_name: Wojtan
  orcid: 0000-0001-6646-5546
- first_name: Greg
  full_name: Turk, Greg
  last_name: Turk
citation:
  ama: 'Raveendran K, Wojtan C, Turk G. Hybrid smoothed particle hydrodynamics. In:
    Spencer S, ed. ACM; 2011:33-42. doi:<a href="https://doi.org/10.1145/2019406.2019411">10.1145/2019406.2019411</a>'
  apa: 'Raveendran, K., Wojtan, C., &#38; Turk, G. (2011). Hybrid smoothed particle
    hydrodynamics. In S. Spencer (Ed.) (pp. 33–42). Presented at the SCA: ACM SIGGRAPH/Eurographics
    Symposium on Computer animation, Vancouver, Canada: ACM. <a href="https://doi.org/10.1145/2019406.2019411">https://doi.org/10.1145/2019406.2019411</a>'
  chicago: Raveendran, Karthik, Chris Wojtan, and Greg Turk. “Hybrid Smoothed Particle
    Hydrodynamics.” edited by Stephen Spencer, 33–42. ACM, 2011. <a href="https://doi.org/10.1145/2019406.2019411">https://doi.org/10.1145/2019406.2019411</a>.
  ieee: 'K. Raveendran, C. Wojtan, and G. Turk, “Hybrid smoothed particle hydrodynamics,”
    presented at the SCA: ACM SIGGRAPH/Eurographics Symposium on Computer animation,
    Vancouver, Canada, 2011, pp. 33–42.'
  ista: 'Raveendran K, Wojtan C, Turk G. 2011. Hybrid smoothed particle hydrodynamics.
    SCA: ACM SIGGRAPH/Eurographics Symposium on Computer animation, 33–42.'
  mla: Raveendran, Karthik, et al. <i>Hybrid Smoothed Particle Hydrodynamics</i>.
    Edited by Stephen Spencer, ACM, 2011, pp. 33–42, doi:<a href="https://doi.org/10.1145/2019406.2019411">10.1145/2019406.2019411</a>.
  short: K. Raveendran, C. Wojtan, G. Turk, in:, S. Spencer (Ed.), ACM, 2011, pp.
    33–42.
conference:
  end_date: 2011-08-07
  location: Vancouver, Canada
  name: 'SCA: ACM SIGGRAPH/Eurographics Symposium on Computer animation'
  start_date: 2011-08-05
date_created: 2018-12-11T12:02:32Z
date_published: 2011-08-05T00:00:00Z
date_updated: 2023-02-23T11:21:05Z
day: '05'
ddc:
- '000'
department:
- _id: ChWo
doi: 10.1145/2019406.2019411
editor:
- first_name: Stephen
  full_name: Spencer, Stephen
  last_name: Spencer
file:
- access_level: open_access
  checksum: 6579d27709946e0eefbfa60a456b4913
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:09:44Z
  date_updated: 2020-07-14T12:46:06Z
  file_id: '4769'
  file_name: IST-2016-598-v1+1_HybridSPH_Preprint.pdf
  file_size: 2536216
  relation: main_file
file_date_updated: 2020-07-14T12:46:06Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Submitted Version
page: 33 - 42
publication_status: published
publisher: ACM
publist_id: '3343'
pubrep_id: '598'
quality_controlled: '1'
scopus_import: 1
status: public
title: Hybrid smoothed particle hydrodynamics
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
