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    ARTICLE

    High-Order DG Schemes with Subcell Limiting Strategies for Simulations of Shocks, Vortices and Sound Waves in Materials Science Problems

    Zhenhua Jiang1,*, Xi Deng2,3, Xin Zhang1, Chao Yan1, Feng Xiao4, Jian Yu1

    FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.10, pp. 2183-2204, 2024, DOI:10.32604/fdmp.2024.053231

    Abstract Shock waves, characterized by abrupt changes in pressure, temperature, and density, play a significant role in various materials science processes involving fluids. These high-energy phenomena are utilized across multiple fields and applications to achieve unique material properties and facilitate advanced manufacturing techniques. Accurate simulations of these phenomena require numerical schemes that can represent shock waves without spurious oscillations and simultaneously capture acoustic waves for a wide range of wavelength scales. This work suggests a high-order discontinuous Galerkin (DG) method with a finite volume (FV) subcell limiting strategies to achieve better subcell resolution and lower numerical More >

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