A constructed method of manufactured solutions and code verification for 2D Lagrangian radiation hydrodynamic equations

LIU Xuezhe; LIN Zhong; WANG Ruili; YU Yunlong

doi:10.11883/bzycj-2017-0199

Volume 39 Issue 1

Oct. 2018

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LIU Xuezhe, LIN Zhong, WANG Ruili, YU Yunlong. A constructed method of manufactured solutions and code verification for 2D Lagrangian radiation hydrodynamic equations[J]. Explosion And Shock Waves, 2019, 39(1): 014201. doi: 10.11883/bzycj-2017-0199

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LIU Xuezhe, LIN Zhong, WANG Ruili, YU Yunlong. A constructed method of manufactured solutions and code verification for 2D Lagrangian radiation hydrodynamic equations[J]. Explosion And Shock Waves, 2019, 39(1): 014201. doi: 10.11883/bzycj-2017-0199

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A constructed method of manufactured solutions and code verification for 2D Lagrangian radiation hydrodynamic equations

doi: 10.11883/bzycj-2017-0199

Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

Received Date: 2017-06-10
Rev Recd Date: 2017-08-09
Publish Date: 2019-01-05

Abstract

Abstract

The method of manufactured solutions (MMS) is a fundamental part of code verification for the coupling codes with complex multi-physics process, the MMS for multi-dimension Lagrangian radiation hydrodynamics with large deformation meshes is very sparse yet. In this paper, a new constructed method of manufactured solutions for 2D Lagrangian radiation hydrodynamic equations was proposed based on the derivative relations of physical variables between the Lagrangian space and the Eulerian space. The manufactured solution models without additional source terms in the mass equation could be used to solve diffusion problems on fluid moving meshes and were applied to the verification of the 2D Lagrangian radiation hydrodynamic codes. The numerical results show that the observed order of accuracy matches the formal order of accuracy.
- 2D Lagrangian radiation hydrodynamic equations,
- method of manufactured solutions (MMS),
- Eulerian space,
- Lagrangian space,
- coordinate transformation,
- code verification

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References(19)

References

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