Hierarchical Boltzmann simulations and model error estimation
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Publication:1686606
DOI10.1016/j.jcp.2017.04.041zbMath1376.76060OpenAlexW2605851636MaRDI QIDQ1686606
Neeraj Sarna, Manuel Torrilhon
Publication date: 15 December 2017
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2017.04.041
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Cites Work
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- Solving the discrete S-model kinetic equations with arbitrary order polynomial approximations
- Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models
- A multiscale kinetic-fluid solver with dynamic localization of kinetic effects
- Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states
- The Boltzmann equation and its applications
- An analysis of a mixed finite element method for the Navier-Stokes equations
- Explicit fluxes and productions for large systems of the moment method based on extended thermodynamics
- Characterstic waves and dissipation in the 13-moment-case
- Boundary conditions for regularized 13-moment-equations for micro-channel-flows
- A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
- Modeling Nonequilibrium Gas Flow Based on Moment Equations
- Fokker–Planck model for computational studies of monatomic rarefied gas flows
- Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation
- Symmetric positive linear differential equations
- Direct simulation of gas flows at the molecular level
- Regularization of Grad’s 13 moment equations: Derivation and linear analysis
- Variance reduction for Monte Carlo solutions of the Boltzmann equation
- The shock tube study in extended thermodynamics
- Slow gas microflow past a sphere: Analytical solution based on moment equations
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Convergence of Moment Methods for Linear Kinetic Equations
- Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator
- Finite Volume Methods for Hyperbolic Problems
- High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem
- Convergence Study of Moment Approximations for Boundary Value Problems of the Boltzmann-BGK Equation
- Numerical Study of Partially Conservative Moment Equations in Kinetic Theory
- Well-Posed Boundary Conditions for the Navier--Stokes Equations
- On the kinetic theory of rarefied gases
