A meshless MUSCL-like method with moving-least-squares discretization and MOOD limiting achieves fourth-order accuracy in 1D and second-order in 2D for BGK simulations on moving domains.
InProceedings of the 1968 23rd ACM national conference(1968), ACM Press, pp
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A meshless MUSCL method for the BGK-Boltzmann equation
A meshless MUSCL-like method with moving-least-squares discretization and MOOD limiting achieves fourth-order accuracy in 1D and second-order in 2D for BGK simulations on moving domains.