A stochastic kinetic scheme for multi-scale flow transport with uncertainty quantification
DOI10.1016/j.jcp.2021.110337OpenAlexW3004239826MaRDI QIDQ2124363
Publication date: 8 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.00277
Boltzmann equationkinetic theoryuncertainty quantificationasymptotic-preserving schememulti-scale flow
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Probabilistic methods, stochastic differential equations (65Cxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)
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Cites Work
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- A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field
- An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit
- Uncertainty quantification for systems of conservation laws
- The Boltzmann equation and its applications
- Moment closure hierarchies for kinetic theories.
- Asymptotic-preserving methods and multiscale models for plasma physics
- Multiscale high-order/low-order (HOLO) algorithms and applications
- A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty
- Stochastic approaches to uncertainty quantification in CFD simulations
- Kinetic theory and fluid dynamics
- Modeling uncertainty in flow simulations via generalized polynomial chaos.
- A stochastic kinetic scheme for multi-scale plasma transport with uncertainty quantification
- A velocity-space adaptive unified gas kinetic scheme for continuum and rarefied flows
- On stochastic Galerkin approximation of the nonlinear Boltzmann equation with uncertainty in the fluid regime
- Filtered stochastic Galerkin methods for hyperbolic equations
- A unified gas-kinetic scheme for multiscale and multicomponent flow transport
- A study of hyperbolicity of kinetic stochastic Galerkin system for the isentropic Euler equations with uncertainty
- A unified gas-kinetic scheme for continuum and rarefied flows. IV: Full Boltzmann and model equations
- A stochastic Galerkin method for the Boltzmann equation with uncertainty
- Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition-based asymptotic-preserving method
- A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
- A unified gas-kinetic scheme for continuum and rarefied flows
- Modeling Nonequilibrium Gas Flow Based on Moment Equations
- Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit
- Asymptotic preserving HLL schemes
- A Stochastic Galerkin Method for the Boltzmann Equation with Multi-Dimensional Random Inputs Using Sparse Wavelet Bases
- Approximation Results for Orthogonal Polynomials in Sobolev Spaces
- Numerical analysis of steady flows of a gas condensing on or evaporating from its plane condensed phase on the basis of kinetic theory: Effect of gas motion along the condensed phase
- On Deterministic Approximation of the Boltzmann Equation in a Bounded Domain
- A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
- High-Order Collocation Methods for Differential Equations with Random Inputs
- On the kinetic theory of rarefied gases
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
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