A numerically efficient and stable algorithm for animating water waves

@article{lp02, abstract = {Water motion can be realistically capturedby physically based fluid models. We beginby presenting a survey on fluid simulationmodels that are based on fluid dynamicsequations, from the most comprehensiveNavier–Stokes equations to the simplewave equation. We then present a modelthat is based on the two-dimensional shallowwater equations. The equations are integratedby a novel numericalmethod – the implicitsemi-Lagrangian integration scheme –which allows large timesteps while maintainingstability, and which is described in detailin this paper. Gentle wave motions, thesuperposition of waves, drifting objects, andobstacles and boundaries of various shapes can be efficiently simulated with this model.}, author = {Layton, Anita T. and van de Panne, Michiel}, citeulike-article-id = {3096289}, comment = {Reference for shallow water equations, used for wave simulation. }, doi = {10.1007/s003710100131}, journal = {The Visual Computer}, keywords = {animation, equation, shallow, water, wave}, month = {February}, number = {1}, pages = {41--53}, posted-at = {2008-08-07 16:13:00}, priority = {2}, title = {A numerically efficient and stable algorithm for animating water waves}, url = {http://dx.doi.org/10.1007/s003710100131}, volume = {18}, year = {2002} }

TY - JOUR ID - lp02 L3 - citeulike-article-id:3096289 N2 - Water motion can be realistically capturedby physically based fluid models. We beginby presenting a survey on fluid simulationmodels that are based on fluid dynamicsequations, from the most comprehensiveNavier–Stokes equations to the simplewave equation. We then present a modelthat is based on the two-dimensional shallowwater equations. The equations are integratedby a novel numericalmethod – the implicitsemi-Lagrangian integration scheme –which allows large timesteps while maintainingstability, and which is described in detailin this paper. Gentle wave motions, thesuperposition of waves, drifting objects, andobstacles and boundaries of various shapes can be efficiently simulated with this model. IS - 1 JF - The Visual Computer EP - 53 TI - A numerically efficient and stable algorithm for animating water waves VL - 18 SP - 41 KW - animation KW - equation KW - shallow KW - water KW - wave N1 - Reference for shallow water equations, used for wave simulation. AU - Layton, Anita AU - van de Panne, Michiel PY - 2002/02// UR - http://dx.doi.org/10.1007/s003710100131 ER -