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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…
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…
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…
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…
Wave-Particle Based Multiscale Modeling and Simulation of Non-equilibrium Turbulent Flows
Xiaojian Yang, Kun Xu
This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with t…