New 3D Benchmark for CFD-Codes Based on Analytical Solution of Spherically-Symmetric Gas Free Expansion | Sciact - CRIS-system of Boreskov Institute of Catalysis

New 3D Benchmark for CFD-Codes Based on Analytical Solution of Spherically-Symmetric Gas Free Expansion Full article

Journal

Communications in Computational Physics
ISSN: 1991-7120

Output data

Year: 2025, Volume: 38, Number: 2, Pages: 439-466 Pages count : 28 DOI: 10.4208/cicp.oa-2024-0134

Tags

CFD test, benchmarking problem, gas free expansion, Nemchinov-Dyson problem, CFD verification test, Smoothed Particle Hydrodynamics (SPH)

Authors

Davydov Maxim ¹ , Stoyanovskaya Olga ¹ , Savvateeva Tatiana ¹ , Snytnikov Valeriy ²

Affiliations

1	Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
2	Boreskov Institute of Catalysis, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia

The article presents for the first time the use of a known solution to the problem of gas expansion into a vacuum as a test for the implementation of numerical methods. An analytical solution of the problem of gas ball expanding into vacuum is written out in an explicit form. The solution is designed for benchmarking of three-dimensional gas dynamics solvers. The test makes it possible to evaluate a spherical symmetry of a numerical solution when using a Cartesian or cylindrical coordinate system. Moreover, the actual order of approximation of an implemented numerical algorithm, and the accuracy of reproducing the solution on a moving free boundary can be estimated. We present the results of numerical solution of the problem by using three-dimensional Smoothed Particle Hydrodynamics (SPH) simulations. The simulation is performed for two methods of computing density in SPH. The algorithm for computing the dynamics of particles at gas-vacuum sharp interface is described in detail.

Davydov M. , Stoyanovskaya O. , Savvateeva T. , Snytnikov V.
New 3D Benchmark for CFD-Codes Based on Analytical Solution of Spherically-Symmetric Gas Free Expansion
Communications in Computational Physics. 2025. V.38. N2. P.439-466. DOI: 10.4208/cicp.oa-2024-0134 Scopus OpenAlex

Submitted:	Jun 10, 2024
Accepted:	Mar 12, 2025

Scopus:	2-s2.0-105013894581
OpenAlex:	W4413255435

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