IEEE Trans Vis Comput Graph - Implicit Incompressible SPH.

Tópicos

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{ ehr(2073) health(1662) electron(1139) }
{ state(1844) use(1261) util(961) }
{ patient(2837) hospit(1953) medic(668) }
{ model(2656) set(1616) predict(1553) }
{ age(1611) year(1155) adult(843) }
{ medic(1828) order(1363) alert(1069) }
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{ cost(1906) reduc(1198) effect(832) }
{ group(2977) signific(1463) compar(1072) }
{ sampl(1606) size(1419) use(1276) }
{ gene(2352) biolog(1181) express(1162) }
{ intervent(3218) particip(2042) group(1664) }
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Resumo

We propose a novel formulation of the projection method for Smoothed Particle Hydrodynamics (SPH). We combine a symmetric SPH pressure force and an SPH discretization of the continuity equation to obtain a discretized form of the pressure Poisson equation (PPE). In contrast to previous projection schemes, our system does consider the actual computation of the pressure force. This incorporation improves the convergence rate of the solver. Furthermore, we propose to compute the density deviation based on velocities instead of positions as this formulation improves the robustness of the time-integration scheme. We show that our novel formulation outperforms previous projection schemes and state-of-the-art SPH methods. Large time steps and small density deviations of down to 0.01% can be handled in typical scenarios. The practical relevance of the approach is illustrated by scenarios with up to 40 million SPH particles.

Resumo Limpo

propos novel formul project method smooth particl hydrodynam sph combin symmetr sph pressur forc sph discret continu equat obtain discret form pressur poisson equat ppe contrast previous project scheme system consid actual comput pressur forc incorpor improv converg rate solver furthermor propos comput densiti deviat base veloc instead posit formul improv robust timeintegr scheme show novel formul outperform previous project scheme stateoftheart sph method larg time step small densiti deviat can handl typic scenario practic relev approach illustr scenario million sph particl

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