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20242026
most citedA Memory Reduction Compact Gas Kinetic Scheme on 3D Unstructured Meshes

1 citations · 1 across the 5 of their papers we have counts for

collaborators

7 papers

physics.comp-ph2026

A nonequilibrium-capturing unified gas-kinetic scheme I: discrete orthogonal basis construction and expansion on velocity space

Hongyu Liu, Kun Xu

Velocity space discretization is a primary source of computational cost in deterministic methods for multiscale gas flows. A fixed velocity grid often retains redundant kinetic deg…

math.NA2025

A Geometric Multigrid-Accelerated Compact Gas-Kinetic Scheme for Fast Convergence in High-Speed Flows on GPUs

Hongyu Liu, Xing Ji, Yuan Fu +1

Implicit methods and GPU parallelization are two distinct yet powerful strategies for accelerating high-order CFD algorithms. However, few studies have successfully integrated both…

physics.comp-ph2025

UGKWP and IUGKP methods for Multi-Scale Phonon Transport with Dispersion and Polarization

Hongyu Liu, Xiaojian Yang, Chuang Zhang +2

This paper presents two novel methods for solving multi-scale phonon transport problems with dispersion and polarization effects: the unified gas-kinetic wave-particle (UGKWP) meth…

physics.comp-ph2025

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport

Hongyu Liu, Xiaojian Yang, Chuang Zhang +2

This paper presents a highly efficient implicit unified gas-kinetic particle (IUGKP) method for obtaining steady-state solutions of multi-scale phonon transport. The method adapts…

physics.comp-ph2025

Unified gas-kinetic wave-particle method for multi-scale phonon transport

Hongyu Liu, Xiaojian Yang, Chuang Zhang +2

Over the past 7 decades, the classical Monte Carlo method has played a huge role in the fields of rarefied gas flow and micro/nano scale heat transfer, but it also has shortcomings…

math.NA2024★ 1 cited

A Memory Reduction Compact Gas Kinetic Scheme on 3D Unstructured Meshes

Hongyu Liu, Xing Ji, Yunpeng Mao +2

This paper introduces a memory-reduction third-order compact gas-kinetic scheme (CGKS) for solving compressible Euler and Navier-Stokes equations on 3D unstructured meshes. The sch…

physics.comp-ph2024

A Compact Gas-Kinetic Scheme with Scalable Geometric Multigrid Acceleration for Steady-State Computation on 3D Unstructured Meshes

Hongyu Liu, Xing Ji, Yunpeng Mao +2

In this paper, we present an advanced high-order compact gas-kinetic scheme (CGKS) for 3D unstructured mixed-element meshes, augmented with a geometric multigrid technique to accel…