Schur Complement-based Substructuring of Stiff Multibody Systems with Contact

Albert Peiret, Sheldon Andrews, József Kövecses, Paul G. Kry, Marek Teichmann Substructuring permits parallelization of physics simulation on multi-core CPUs. We present a new substructuring approach for solving stiff multibody systems containing both bilateral and unilateral constraints. Our approach is based on non-overlapping domain decomposition with the Schur complement method, which we extend to systems […]

Implicit Density Projection for Volume Conserving Liquids

Tassilo Kugelstadt, Andreas Longva, Nils Thuerey, Jan Bender We propose a novel implicit density projection approach for hybrid Eulerian/Lagrangian methods like FLIP and APIC to enforce volume conservation of incompressible liquids. Our approach is able to robustly recover from highly degenerate configurations and incorporates volume-conserving boundary handling. A problem of the standard divergence-free pressure solver […]

Volume Maps: An Implicit Boundary Representation for SPH

Jan Bender, Tassilo Kugelstadt, Marcel Weiler, Dan Koschier In this paper, we present a novel method for the robust handling of static and dynamic rigid boundaries in Smoothed Particle Hydrodynamics (SPH) simulations. We build upon the ideas of the density maps approach which has been introduced recently by Koschier and Bender. They precompute the density […]

Mandoline: Robust Cut-Cell Generation for Arbitrary Triangle Meshes

Michael Tao, Christopher Batty, Eugene Fiume, David IW Levin Although geometry arising “in the wild” most often comes in the form of a surface representation, a plethora of geometrical and physical applications require the construction of volumetric embeddings either of the geometry itself or the domain surrounding it. Cartesian cut-cell-based mesh generation provides an attractive […]

Consistent Shepard Interpolation for SPH-Based Fluid Animation

Stefan Reinhardt, Tim Krake, Bernhard Eberhardt, Daniel Weiskopf We present a novel technique to correct errors introduced by the discretization of a fluid body when animating it with smoothed particle hydrodynamics (SPH). Our approach is based on the Shepard correction, which reduces the interpolation errors from irregularly spaced data. With Shepard correction, the smoothing kernel […]