Journal ArticleDOI
An asymptotic-preserving Monte Carlo method for the Boltzmann equation ☆
TLDR
The Monte Carlo implementation of this asymptotic-preserving Monte Carlo method for the Boltzmann equation is introduced, which, despite its lower order accuracy, is very efficient in higher dimensions or simulating some complicated chemical processes.About:
This article is published in Journal of Computational Physics.The article was published on 2014-11-01. It has received 42 citations till now. The article focuses on the topics: Dynamic Monte Carlo method & Monte Carlo molecular modeling.read more
Citations
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Journal ArticleDOI
Aero-optical effects of an optical seeker with a supersonic jet for hypersonic vehicles in near space.
Guangming Guo,Hong Liu,Bin Zhang +2 more
TL;DR: The aero-optical effects of an optical seeker with a supersonic jet for hypersonic vehicles in near space were investigated by three suites of cases, in which the altitude, angle of attack, and Mach number were varied in a large range.
Journal ArticleDOI
Unified gas-kinetic wave-particle methods I: Continuum and rarefied gas flow
Chang Liu,Yajun Zhu,Kun Xu +2 more
TL;DR: In this article, a multiscale unified gas-kinetic wave-particle (UGKWP) method is proposed for the simulation of hypersonic flow in all regimes.
Journal ArticleDOI
Unified Gas-kinetic Wave-Particle Methods II: Multiscale Simulation on Unstructured Mesh
TL;DR: In this paper, a unified gas-kinetic wave-particle (UGKWP) method for multiscale simulation of continuum and rarefied flow is presented, where the integral solution of kinetic model equation is employed in the construction of UGKWP method to model the flow physics in the cell size and time step scales.
Posted Content
Unified Gas-kinetic Wave-Particle methods I: Continuum and Rarefied Gas Flow
Chang Liu,Yajun Zhu,Kun Xu +2 more
TL;DR: The new concept of multiscale multi-efficiency preserving (MMP) method is introduced, and the UGKWP method is shown to be an MMP scheme, which is specially efficient for hypersonic flow simulation in all regimes in comparison with the wave-type discrete ordinate methods.
Posted Content
A Unified Stochastic Particle Bhatnagar-Gross-Krook Method for Multiscale Gas Flows
TL;DR: In this article, a unified stochastic particle ESBGK (USP-ESBGK) method was proposed by combining the molecular convection and collision effects to simulate multiscale gas flows ranging from rarefied to continuum regime.
References
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Book
Numerical methods for conservation laws
TL;DR: In this paper, the authors describe the derivation of conservation laws and apply them to linear systems, including the linear advection equation, the Euler equation, and the Riemann problem.
Book
The Boltzmann equation and its applications
TL;DR: In this article, the Boltzmann Equation for rigid spheres is used to model the dynamics of a gas of rigid spheres in phase space and to solve the problem of flow and heat transfer in regions bounded by planes or cylinders.
Journal ArticleDOI
The Mathematical Theory of Non-Uniform Gases
TL;DR: Chapman and Cowling as mentioned in this paper showed that the ultimate scope of the descendent of the kinetic theory of gases must be the whole field of the properties of matter in bulk, derived from the atomic constitution of matter and from properties of atoms and their interactions.