Paper
A More Rigorous Test Problem For Viscous Hydrodynamics Codes
Authors
Alexander J. Dittmann, Geoffrey Ryan
Abstract
We advocate for a more stringent test problem for codes that aim to solve the equations of viscous hydrodynamics. Specifically, we discuss a nonuniform-density version of the common (uniform-density) Gaussian velocity shear test, where density gradients transverse to the direction of velocity shear cause the velocity profile to drift over time. By employing a nonunifom density, this test provides a test that the full viscous stress (and velocity shear) tensors are calculated correctly from the conserved variables, and checks the correctness of the fluxes and source terms calculated therefrom. In Appendix A, we present a detailed exposition of the Navier Stokes equations, particularly their fluxes and source terms in a variety of common coordinate systems.
Metadata
Related papers
Fractal universe and quantum gravity made simple
Fabio Briscese, Gianluca Calcagni • 2026-03-25
POLY-SIM: Polyglot Speaker Identification with Missing Modality Grand Challenge 2026 Evaluation Plan
Marta Moscati, Muhammad Saad Saeed, Marina Zanoni, Mubashir Noman, Rohan Kuma... • 2026-03-25
LensWalk: Agentic Video Understanding by Planning How You See in Videos
Keliang Li, Yansong Li, Hongze Shen, Mengdi Liu, Hong Chang, Shiguang Shan • 2026-03-25
Orientation Reconstruction of Proteins using Coulomb Explosions
Tomas André, Alfredo Bellisario, Nicusor Timneanu, Carl Caleman • 2026-03-25
The role of spatial context and multitask learning in the detection of organic and conventional farming systems based on Sentinel-2 time series
Jan Hemmerling, Marcel Schwieder, Philippe Rufin, Leon-Friedrich Thomas, Mire... • 2026-03-25
Raw Data (Debug)
{
"raw_xml": "<entry>\n <id>http://arxiv.org/abs/2603.03266v1</id>\n <title>A More Rigorous Test Problem For Viscous Hydrodynamics Codes</title>\n <updated>2026-03-03T18:54:54Z</updated>\n <link href='https://arxiv.org/abs/2603.03266v1' rel='alternate' type='text/html'/>\n <link href='https://arxiv.org/pdf/2603.03266v1' rel='related' title='pdf' type='application/pdf'/>\n <summary>We advocate for a more stringent test problem for codes that aim to solve the equations of viscous hydrodynamics. Specifically, we discuss a nonuniform-density version of the common (uniform-density) Gaussian velocity shear test, where density gradients transverse to the direction of velocity shear cause the velocity profile to drift over time. By employing a nonunifom density, this test provides a test that the full viscous stress (and velocity shear) tensors are calculated correctly from the conserved variables, and checks the correctness of the fluxes and source terms calculated therefrom. In Appendix A, we present a detailed exposition of the Navier Stokes equations, particularly their fluxes and source terms in a variety of common coordinate systems.</summary>\n <category scheme='http://arxiv.org/schemas/atom' term='physics.flu-dyn'/>\n <category scheme='http://arxiv.org/schemas/atom' term='astro-ph.IM'/>\n <category scheme='http://arxiv.org/schemas/atom' term='physics.comp-ph'/>\n <published>2026-03-03T18:54:54Z</published>\n <arxiv:comment>3+5 pages, 2 figures -- technical note. Comments welcome</arxiv:comment>\n <arxiv:primary_category term='physics.flu-dyn'/>\n <author>\n <name>Alexander J. Dittmann</name>\n </author>\n <author>\n <name>Geoffrey Ryan</name>\n </author>\n </entry>"
}