Xiao XU, Hongbo LU, Jian LIN, Feng JI, Nong CHEN

DOI Number: XXX-YYY-ZZZ

Conference number: HiSST 2024-00106

MHD is widely applied in the area of hypersonic flow control, fusion energy, celestial physics and so on. This paper presents a 3D parallel Lagrangian scheme on unstructured meshes for ideal MHD equations. As the meshes move along with the fluids in Lagrangian computation, this method would capture and describe the material interface and shock discontinuities automatically and precisely. Based on the geometry conservation, momentum and total energy conservation and magnetic flux conservation, a compatible nodal approximate Riemann solver is constructed via discrete entropy inequality. The conservative variables are piecewise linear reconstructed to increase spatial discretization accuracy and predictor-corrector time discretization method is adopted in our scheme. The magnetic divergence constraint is satisfied by using the generalized Lagrangian multiplier method, which propagates and dissipates the magnetic divergence error to the computation boundaries. Moreover, parallel computing is conducted on our scheme by exchange information of the boundary cells of each neighbouring block. Various numerical tests verify and validate the accuracy and robustness of our scheme.

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In Categories: 1.Events, High-Speed Aerodynamics and Aerothermodynamics, HiSST 2024
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