A numerically efficient and stable algorithm for animating water waves

@article{lp02, abstract = {Water motion can be realistically captured by physically based fluid models. We begin by presenting a survey on fluid simulation models that are based on fluid dynamics equations, from the most comprehensive Navier–Stokes equations to the simple wave equation. We then present a model that is based on the two-dimensional shallow water equations. The equations are integrated by a novel numericalmethod – the implicit semi-Lagrangian integration scheme – which allows large timesteps while maintaining stability, and which is described in detail in this paper. Gentle wave motions, the superposition of waves, drifting objects, and obstacles 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 = {http://dx.doi.org/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 captured by physically based fluid models. We begin by presenting a survey on fluid simulation models that are based on fluid dynamics equations, from the most comprehensive Navier–Stokes equations to the simple wave equation. We then present a model that is based on the two-dimensional shallow water equations. The equations are integrated by a novel numericalmethod – the implicit semi-Lagrangian integration scheme – which allows large timesteps while maintaining stability, and which is described in detail in this paper. Gentle wave motions, the superposition of waves, drifting objects, and obstacles 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 -