Discrete-velocity-direction models of BGK-type with minimum entropy. I: Basic idea
DOI10.1007/s10915-023-02211-8zbMath1515.65235MaRDI QIDQ6101669
Qian Huang, Yi-Hong Chen, Wen-An Yong
Publication date: 20 June 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
kinetic equationsminimum entropy principlediscrete-velocity model (DVM)discrete-velocity-direction model (DVDM)extended quadrature method of moments (EQMOM)
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
- Unnamed Item
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- A discrete velocity direction model for the Boltzmann equation and applications to micro gas flows
- A quadrature-based third-order moment method for dilute gas-particle flows
- Singular perturbations of first-order hyperbolic systems with stiff source terms
- Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries
- Moment closure hierarchies for kinetic theories.
- A quadrature-based moment method for dilute fluid-particle flows
- A Framework on Moment Model Reduction for Kinetic Equation
- The driven cavity flow over the whole range of the Knudsen number
- Multivariate Gaussian Extended Quadrature Method of Moments for Turbulent Disperse Multiphase Flow
- DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS
- What is life? A perspective of the mathematical kinetic theory of active particles
- Stability Analysis of Quadrature-Based Moment Methods for Kinetic Equations
- The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
- Convergence of a discrete-velocity model for the Boltzmann-BGK equation
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