High-Frequency Voronoi Noise Reduced by Smoothed Mesh Motion

Abstract

We describe a technique for improving the performance of hydrodynamics codes which employ a moving Voronoi mesh. Currently, such codes are susceptible to high-frequency noise produced by rapid adjustments in the grid topology on the smallest scales. The treatment for this grid noise is simple; instead of moving the mesh-generating marker points with the local fluid velocity, this velocity field is smoothed on small scales, so that neighboring marker points generally have similar velocities. We demonstrate significant improvement gained by this adjustment in several code tests relevant to the physics which moving-mesh codes are designed to capture.

arXiv commentMNRAS Accepted

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• A moving mesh unstaggered constrained transport scheme for magnetohydrodynamics
• The Kelvin-Helmholtz instability and smoothed particle hydrodynamics
• Grid Noise in Moving Mesh Codes: Fixing The Volume Inconsistency Problem
• Entropy-Conserving Scheme for Modeling Nonthermal Energies in Fluid Dynamics Simulations
• Multidimensional upwind hydrodynamics on unstructured meshes using Graphics Processing Units I. Two-dimensional uniform meshes