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math.NA2026

A High-Order Finite Volume GENO Scheme with Implicit Time Integration for Three-Temperature Radiation Diffusion Equations

Fengxiang Zhao, Yaqing Yang, Yibing Chen +1

This study presents a high-order finite volume scheme capable of large time-step integration for three-temperature radiation diffusion (3TRD) equations, where conservation is natur…

math.NA2025

Performance evaluation of high-order compact and second-order gas-kinetic schemes in compressible flow simulations

Yaqing Yang, Fengxiang Zhao, Kun Xu

The trade-off among accuracy, robustness, and computational cost remains a key challenge in simulating complex flows. Second-order schemes are computationally efficient but lack th…

math.NA2025

An effective implementation of high-order compact gas-kinetic scheme on structured meshes for compressible flows

Yaqing Yang, Fengxiang Zhao, Kun Xu

A novel fifth-order compact gas-kinetic scheme is developed for high-resolution simulation of compressible flows on structured meshes. Its accuracy relies on a new multidimensional…

math.NA2024

Implicit high-order gas-kinetic schemes for compressible flows on three-dimensional unstructured meshes I: steady flows

Yaqing Yang, Liang Pan, Kun Xu

In the previous studies, the high-order gas-kinetic schemes (HGKS) have achieved successes for unsteady flows on three-dimensional unstructured meshes. In this paper, to accelerate…

math.NA2024

Implicit high-order gas-kinetic schemes for compressible flows on three-dimensional unstructured meshes II: unsteady flows

Yaqing Yang, Liang Pan, Kun Xu

For the simulations of unsteady flow, the global time step becomes really small with a large variation of local cell size. In this paper, an implicit high-order gas-kinetic scheme…