Develops a PDE-level wave-particle decomposition for kinetic equations via characteristic integral solution and local horizon, yielding a unified system with asymptotic-preserving properties across Knudsen numbers.
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2026 2verdicts
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A second-order UGKWP method is presented that achieves enhanced mesh independence for hypersonic cylinder and cone flows, outperforming DSMC on mesh-sensitive quantities like shear stress and heat flux.
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Wave-Particle Decomposition for Kinetic Equations I: Theory and Numerics
Develops a PDE-level wave-particle decomposition for kinetic equations via characteristic integral solution and local horizon, yielding a unified system with asymptotic-preserving properties across Knudsen numbers.