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Voronoi Filters for Simulation Enrichment
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
The simulation of complex deformation problems often requires enrichment techniques that introduce local high-resolution detail on a generally coarse discretization. The use cases include spatial or temporal refinement of ...
Tiled Characteristic Maps for Tracking Detailed Liquid Surfaces
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
We introduce tiled characteristic maps for level set method that accurately preserves both thin sheets and sharp edges over a long period of time. Instead of resorting to high-order differential schemes, we utilize the ...
A Second-Order Explicit Pressure Projection Method for Eulerian Fluid Simulation
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
In this paper, we propose a novel second-order explicit midpoint method to address the issue of energy loss and vorticity dissipation in Eulerian fluid simulation. The basic idea is to explicitly compute the pressure ...
Fast Numerical Coarsening with Local Factorizations
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
Numerical coarsening methods offer an attractive methodology for fast simulation of objects with high-resolution heterogeneity. However, they rely heavily on preprocessing, and are not suitable when objects undergo dynamic ...
High-Order Elasticity Interpolants for Microstructure Simulation
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
We propose a novel formulation of elastic materials based on high-order interpolants, which fits accurately complex elastic behaviors, but remains conservative. The proposed high-order interpolants can be regarded as a ...
Stability Analysis of Explicit MPM
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
In this paper we analyze the stability of the explicit material point method (MPM). We focus on PIC, APIC, and CPIC transfers using quadratic and cubic splines in two and three dimensions. We perform a fully three-dimensional ...
Surface-Only Dynamic Deformables using a Boundary Element Method
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
We propose a novel surface-only method for simulating dynamic deformables without the need for volumetric meshing or volumetric integral evaluations. While based upon a boundary element method (BEM) for linear elastodynamics, ...
Physically Based Shape Matching
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
The shape matching method is a popular approach to simulate deformable objects in interactive applications due to its stability and simplicity. An important feature is that there is no need for a mesh since the method works ...