abstract

A Conservative Semi-Implicit Scheme for Shallow Water Equations

Authors:

Haruka Hirae,

Shigeo Morishima,

Ryoichi AndoAuthors Info & Claims

SCA '23: Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation

Article No.: 1, Pages 1 - 2

https://doi.org/10.1145/3606037.3606838

Published: 04 August 2023 Publication History

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Abstract

This paper presents a new mass and (local) momentum conserving scheme for shallow water equations that are discretized in conservation form. In comparison to conventional techniques, such as the semi-Lagrangian scheme and its conservative variant, our approach offers noticeably improved visual animation of wave dynamics.

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References

[1]

Robert Bridson. 2015. Fluid simulation for computer graphics. CRC Press.

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[2]

Trond Runar Hagen, Jon Mikkelsen Hjelmervik, Knut-Andreas Lie, Jostein R. Natvig, and M. Ofstad Henriksen. 2005. Visual simulation of shallow-water waves. Simulation Modelling Practice and Theory 13, 8 (2005), 716–726. https://doi.org/10.1016/j.simpat.2005.08.006 Programmable Graphics Hardware.

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[3]

Anita T Layton and Michiel van de Panne. 2002. A numerically efficient and stable algorithm for animating water waves. The Visual Computer 18 (2002), 41–53. https://doi.org/10.1007/s003710100131https://doi.org/10.1007/s003710100131

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[4]

Michael Lentine, Mridul Aanjaneya, and Ronald Fedkiw. 2011. Mass and Momentum Conservation for Fluid Simulation. In Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on computer animation(SCA ’11). Association for Computing Machinery, New York, NY, USA, 91–100. https://doi.org/10.1145/2019406.2019419

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A Conservative Semi-Implicit Scheme for Shallow Water Equations
1. Computing methodologies
  1. Modeling and simulation

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Published In

SCA '23: Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation

August 2023

17 pages

ISBN:9798400702686

DOI:10.1145/3606037

Editors:
Chenfanfu Jiang
UCLA
,
Mridul Aanjaneya
Rutgers University
,
Huamin Wang
Style3D
,
Yuting Ye
Reality Labs Research @ Meta

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Association for Computing Machinery

New York, NY, United States

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Published: 04 August 2023

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SCA '23

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SIGGRAPH

SCA '23: The ACM SIGGRAPH / Eurographics Symposium on Computer Animation

August 4 - 6, 2023

CA, Los Angeles, USA

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Overall Acceptance Rate 183 of 487 submissions, 38%

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A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations

High-order well-balanced and positivity-preserving finite-difference AWENO scheme with hydrostatic reconstruction for shallow water equations

A well-balanced van Leer-type numerical scheme for shallow water equations with variable topography

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