2009, 3. Aufl., ISBN 9783540252023, 738

High resolution upwind and centred methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific...

Mechanics, applied | Engineering | Fluids | Theoretical and Applied Mechanics | Numerical Analysis | Mathematical and Computational Physics | Fluid dynamics

Mechanics, applied | Engineering | Fluids | Theoretical and Applied Mechanics | Numerical Analysis | Mathematical and Computational Physics | Fluid dynamics

eBook

1999, 2nd ed., ISBN 3540659668, xix, 624

Book

International Journal for Numerical Methods in Fluids, ISSN 0271-2091, 12/2014, Volume 76, Issue 10, pp. 737 - 778

SUMMARYIn this paper, we present a class of high‐order accurate cell‐centered arbitrary Lagrangian–Eulerian (ALE) one‐step ADER weighted essentially...

node solvers | Euler equations of compressible gas dynamics | multifluid flows | MHD equations | moving unstructured meshes | relativistic MHD equations (RMHD) | high‐order ADER‐WENO ALE finite volume schemes | cell‐centered direct ALE | Cell-centered direct ALE | Relativistic MHD equations (RMHD) | Moving unstructured meshes | high-order ADER-WENO ALE finite volume schemes | Multifluid flows | Node solvers | HLLC RIEMANN SOLVER | DISCONTINUOUS GALERKIN DISCRETIZATION | TETRAHEDRAL MESHES | PHYSICS, FLUIDS & PLASMAS | ESSENTIALLY NONOSCILLATORY SCHEMES | NONCONSERVATIVE HYPERBOLIC SYSTEMS | FREE-SURFACE FLOWS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | CENTERED LAGRANGIAN HYDRODYNAMICS | cell-centered direct ALE | NUMERICAL-SIMULATION | FINITE-VOLUME SCHEMES | EULER EQUATIONS | High-order ADER-WENO ALE finite volume schemes | Fluid dynamics | Beer | Magnetohydrodynamics | Computational fluid dynamics | Partial differential equations | Mathematical analysis | Conservation | Fluid flow | Solvers | Mathematical models

node solvers | Euler equations of compressible gas dynamics | multifluid flows | MHD equations | moving unstructured meshes | relativistic MHD equations (RMHD) | high‐order ADER‐WENO ALE finite volume schemes | cell‐centered direct ALE | Cell-centered direct ALE | Relativistic MHD equations (RMHD) | Moving unstructured meshes | high-order ADER-WENO ALE finite volume schemes | Multifluid flows | Node solvers | HLLC RIEMANN SOLVER | DISCONTINUOUS GALERKIN DISCRETIZATION | TETRAHEDRAL MESHES | PHYSICS, FLUIDS & PLASMAS | ESSENTIALLY NONOSCILLATORY SCHEMES | NONCONSERVATIVE HYPERBOLIC SYSTEMS | FREE-SURFACE FLOWS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | CENTERED LAGRANGIAN HYDRODYNAMICS | cell-centered direct ALE | NUMERICAL-SIMULATION | FINITE-VOLUME SCHEMES | EULER EQUATIONS | High-order ADER-WENO ALE finite volume schemes | Fluid dynamics | Beer | Magnetohydrodynamics | Computational fluid dynamics | Partial differential equations | Mathematical analysis | Conservation | Fluid flow | Solvers | Mathematical models

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 08/2014, Volume 270, pp. 432 - 458

The Godunov Smoothed Particle Hydrodynamics (GSPH) method is coupled with non-iterative, approximate Riemann solvers for solutions to the compressible Euler...

GSPH | Approximate Riemann solvers | Euler equations | ALE METHOD | NONLINEAR CONSERVATION-LAWS | EFFICIENT IMPLEMENTATION | SMOOTHED PARTICLE HYDRODYNAMICS | DIFFERENCE-SCHEMES | PHYSICS, MATHEMATICAL | GAS-DYNAMICS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | KELVIN-HELMHOLTZ INSTABILITIES | ARTIFICIAL VISCOSITY METHOD | COMPRESSIBLE FLOW | Compressibility | Approximation | Equivalence | Heating | Instability | Mathematical models | Two dimensional | Riemann solver

GSPH | Approximate Riemann solvers | Euler equations | ALE METHOD | NONLINEAR CONSERVATION-LAWS | EFFICIENT IMPLEMENTATION | SMOOTHED PARTICLE HYDRODYNAMICS | DIFFERENCE-SCHEMES | PHYSICS, MATHEMATICAL | GAS-DYNAMICS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | KELVIN-HELMHOLTZ INSTABILITIES | ARTIFICIAL VISCOSITY METHOD | COMPRESSIBLE FLOW | Compressibility | Approximation | Equivalence | Heating | Instability | Mathematical models | Two dimensional | Riemann solver

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 01/2016, Volume 304, pp. 189 - 230

Computation of compressible two-phase flows with the unsteady compressible Baer–Nunziato model in conjunction with the moving grid approach is discussed in...

ALE formulation | Unstructured grids | Fluid–structure interaction | HLL/HLLC solver | Two-phase compressible flows | Finite-Volume method | Baer–Nunziato equations | Fluid-structure interaction | Baer-Nunziato equations | MESHES | COMPRESSIBLE 2-PHASE FLOW | RIEMANN SOLVER | MULTIPHASE FLOWS | PHYSICS, MATHEMATICAL | NONCONSERVATIVE HYPERBOLIC SYSTEMS | GODUNOV METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MIXTURE THEORY | GAS | CONSERVATION-LAWS | FINITE-VOLUME SCHEMES | Analysis | Models | Beer | Construction | Compressibility | Approximation | Computation | Solvers | Mathematical models | Three dimensional | Mechanics | Mechanics of the fluids | Fluid Dynamics | Physics

ALE formulation | Unstructured grids | Fluid–structure interaction | HLL/HLLC solver | Two-phase compressible flows | Finite-Volume method | Baer–Nunziato equations | Fluid-structure interaction | Baer-Nunziato equations | MESHES | COMPRESSIBLE 2-PHASE FLOW | RIEMANN SOLVER | MULTIPHASE FLOWS | PHYSICS, MATHEMATICAL | NONCONSERVATIVE HYPERBOLIC SYSTEMS | GODUNOV METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MIXTURE THEORY | GAS | CONSERVATION-LAWS | FINITE-VOLUME SCHEMES | Analysis | Models | Beer | Construction | Compressibility | Approximation | Computation | Solvers | Mathematical models | Three dimensional | Mechanics | Mechanics of the fluids | Fluid Dynamics | Physics

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 10/2017, Volume 346, pp. 25 - 48

Just as the quality of a one-dimensional approximate Riemann solver is improved by the inclusion of internal sub-structure, the quality of a multidimensional...

Conservation laws | Riemann solvers | Higher order schemes | EFFICIENT IMPLEMENTATION | HIGH-ORDER | PHYSICS, MATHEMATICAL | RELATIVISTIC MAGNETOHYDRODYNAMICS | CONSTRAINED TRANSPORT | GAS-DYNAMICS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | UNSPLIT GODUNOV METHOD | IDEAL MHD | UNSTRUCTURED MESHES | FINITE-VOLUME SCHEMES | EULER EQUATIONS | Environmental law | Analysis | Fluid Dynamics | Mathematics | Numerical Analysis | Physics

Conservation laws | Riemann solvers | Higher order schemes | EFFICIENT IMPLEMENTATION | HIGH-ORDER | PHYSICS, MATHEMATICAL | RELATIVISTIC MAGNETOHYDRODYNAMICS | CONSTRAINED TRANSPORT | GAS-DYNAMICS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | UNSPLIT GODUNOV METHOD | IDEAL MHD | UNSTRUCTURED MESHES | FINITE-VOLUME SCHEMES | EULER EQUATIONS | Environmental law | Analysis | Fluid Dynamics | Mathematics | Numerical Analysis | Physics

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 06/2019, Volume 386, pp. 541 - 567

We propose a general class of genuinely two-dimensional incomplete Riemann solvers for systems of conservation laws. In particular, extensions of Balsara's...

Magnetohydrodynamics | Incomplete Riemann solvers | Multidimensional Riemann solvers | Hyperbolic systems | Divergence cleaning | NUMERICAL-SOLUTION | GAS-DYNAMICS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | UPWIND SCHEME | PHYSICS, MATHEMATICAL | EULER | Fluid dynamics | Magnetic fields | Environmental law | Conservation laws | Divergence | Computational fluid dynamics | Apexes | Numerical methods | Finite volume method | Polynomials | Fluxes | Computational grids | Riemann solver

Magnetohydrodynamics | Incomplete Riemann solvers | Multidimensional Riemann solvers | Hyperbolic systems | Divergence cleaning | NUMERICAL-SOLUTION | GAS-DYNAMICS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | UPWIND SCHEME | PHYSICS, MATHEMATICAL | EULER | Fluid dynamics | Magnetic fields | Environmental law | Conservation laws | Divergence | Computational fluid dynamics | Apexes | Numerical methods | Finite volume method | Polynomials | Fluxes | Computational grids | Riemann solver

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 12/2018, Volume 375, pp. 1238 - 1269

The Riemann problem, and the associated generalized Riemann problem, are increasingly seen as the important building blocks for modern higher order...

Hyperbolic conservation laws | Stiff sources | Generalized Riemann problem solver | Non-conservative hyperbolic problems | HLLI Riemann solver | DISCONTINUOUS GALERKIN SCHEMES | HYPERBOLIC SYSTEMS | ASYMPTOTIC-EXPANSION | EQUATIONS | IMPLEMENTATION | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | EULERIAN GRP SCHEME | ADER SCHEMES | GODUNOV-TYPE METHODS | FINITE-VOLUME SCHEMES | PIECEWISE PARABOLIC METHOD | Environmental law | Mathematical problems | Energy dissipation | Conservation | Problem solving | Eigenvectors | Computational physics | Hyperbolic systems | Riemann solver | Eigen values | Mathematics - Numerical Analysis

Hyperbolic conservation laws | Stiff sources | Generalized Riemann problem solver | Non-conservative hyperbolic problems | HLLI Riemann solver | DISCONTINUOUS GALERKIN SCHEMES | HYPERBOLIC SYSTEMS | ASYMPTOTIC-EXPANSION | EQUATIONS | IMPLEMENTATION | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | EULERIAN GRP SCHEME | ADER SCHEMES | GODUNOV-TYPE METHODS | FINITE-VOLUME SCHEMES | PIECEWISE PARABOLIC METHOD | Environmental law | Mathematical problems | Energy dissipation | Conservation | Problem solving | Eigenvectors | Computational physics | Hyperbolic systems | Riemann solver | Eigen values | Mathematics - Numerical Analysis

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 03/2014, Volume 261, pp. 172 - 208

The goal of this paper is to formulate genuinely multidimensional HLL and HLLC Riemann solvers for unstructured meshes by extending our prior papers on the...

High order schemes | Multidimensional Riemann solvers | ADER | WENO | EFFICIENT IMPLEMENTATION | ESSENTIALLY NONOSCILLATORY SCHEMES | HIGH-ORDER | DIFFERENCE-SCHEMES | PHYSICS, MATHEMATICAL | FINITE-VOLUME | GAS-DYNAMICS | IDEAL MAGNETOHYDRODYNAMICS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MAGNETOHYDRODYNAMIC FLOWS | GODUNOV-TYPE METHODS | HYPERBOLIC CONSERVATION-LAWS | Fluid dynamics | MHD | Paper | Magnetohydrodynamics | Fluxes | Computation | Riemann solver | Computational fluid dynamics | Mathematical analysis | Fluid flow | Mathematical models | Two dimensional

High order schemes | Multidimensional Riemann solvers | ADER | WENO | EFFICIENT IMPLEMENTATION | ESSENTIALLY NONOSCILLATORY SCHEMES | HIGH-ORDER | DIFFERENCE-SCHEMES | PHYSICS, MATHEMATICAL | FINITE-VOLUME | GAS-DYNAMICS | IDEAL MAGNETOHYDRODYNAMICS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MAGNETOHYDRODYNAMIC FLOWS | GODUNOV-TYPE METHODS | HYPERBOLIC CONSERVATION-LAWS | Fluid dynamics | MHD | Paper | Magnetohydrodynamics | Fluxes | Computation | Riemann solver | Computational fluid dynamics | Mathematical analysis | Fluid flow | Mathematical models | Two dimensional

Journal Article

1991, 13

Book

International Journal for Numerical Methods in Fluids, ISSN 0271-2091, 07/2014, Volume 75, Issue 7, pp. 467 - 486

SUMMARYWe present a Roe‐type weak formulation Riemann solver where the average coefficient matrix is computed numerically. The novelty of this approach is that...

hyperbolic systems | path‐conservative | conservative finite volumes | high order | Roe‐type solver | general equation of state | Path-conservative | General equation of state | Roe-type solver | Conservative finite volumes | Hyperbolic systems | High order | WEAK FORMULATION | COMPRESSIBLE FLOWS | MESHES | REAL GASES | PHYSICS, FLUIDS & PLASMAS | path-conservative | DIFFERENCE-SCHEMES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | CONSERVATION-LAWS | EULER EQUATIONS | Algorithms | Accuracy | Consumer goods | Computation | Solvers | Mathematical models | Coefficients | Riemann solver

hyperbolic systems | path‐conservative | conservative finite volumes | high order | Roe‐type solver | general equation of state | Path-conservative | General equation of state | Roe-type solver | Conservative finite volumes | Hyperbolic systems | High order | WEAK FORMULATION | COMPRESSIBLE FLOWS | MESHES | REAL GASES | PHYSICS, FLUIDS & PLASMAS | path-conservative | DIFFERENCE-SCHEMES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | CONSERVATION-LAWS | EULER EQUATIONS | Algorithms | Accuracy | Consumer goods | Computation | Solvers | Mathematical models | Coefficients | Riemann solver

Journal Article

12.
Full Text
Multidimensional HLLE Riemann solver: Application to Euler and magnetohydrodynamic flows

Journal of Computational Physics, ISSN 0021-9991, 2010, Volume 229, Issue 6, pp. 1970 - 1993

In this work we present a general strategy for constructing multidimensional HLLE Riemann solvers, with particular attention paid to detailing the...

Conservation laws | MHD | Multidimensional | Euler | Riemann solvers | DIVERGENCE-FREE CONDITION | ESSENTIALLY NONOSCILLATORY SCHEMES | HIGH-ORDER | DIFFERENCE-SCHEMES | MHD EQUATIONS | PHYSICS, MATHEMATICAL | GAS-DYNAMICS | IDEAL MAGNETOHYDRODYNAMICS | NUMERICAL-SOLUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GODUNOV-TYPE METHODS | HYPERBOLIC CONSERVATION-LAWS | Environmental law

Conservation laws | MHD | Multidimensional | Euler | Riemann solvers | DIVERGENCE-FREE CONDITION | ESSENTIALLY NONOSCILLATORY SCHEMES | HIGH-ORDER | DIFFERENCE-SCHEMES | MHD EQUATIONS | PHYSICS, MATHEMATICAL | GAS-DYNAMICS | IDEAL MAGNETOHYDRODYNAMICS | NUMERICAL-SOLUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GODUNOV-TYPE METHODS | HYPERBOLIC CONSERVATION-LAWS | Environmental law

Journal Article

13.
Full Text
A fast, robust, and simple Lagrangian–Eulerian solver for balance laws and applications

Computers and Mathematics with Applications, ISSN 0898-1221, 05/2019, Volume 77, Issue 9, pp. 2310 - 2336

In this work, we present an improvement of the Lagrangian–Eulerian space–time tracking forward scheme to deal with balance laws and related applications. This...

Dynamic forward tracking | Hyperbolic conservation laws | Balance laws | Lagrangian–Eulerian finite volume | MATHEMATICS, APPLIED | Lagrangian-Eulerian finite volume | SIMULATION | SHALLOW-WATER EQUATIONS | FLOW | REALISTIC MODEL | TRANSPORT | SYSTEMS | POROUS-MEDIA | FINITE-VOLUME SCHEME | DIFFERENCE APPROXIMATIONS | HYPERBOLIC CONSERVATION-LAWS | Laws, regulations and rules | Environmental law | Algorithms | Conservation laws | Tracking | Robustness (mathematics) | Two dimensional models | Mathematical models | Dimensional stability | Riemann solver

Dynamic forward tracking | Hyperbolic conservation laws | Balance laws | Lagrangian–Eulerian finite volume | MATHEMATICS, APPLIED | Lagrangian-Eulerian finite volume | SIMULATION | SHALLOW-WATER EQUATIONS | FLOW | REALISTIC MODEL | TRANSPORT | SYSTEMS | POROUS-MEDIA | FINITE-VOLUME SCHEME | DIFFERENCE APPROXIMATIONS | HYPERBOLIC CONSERVATION-LAWS | Laws, regulations and rules | Environmental law | Algorithms | Conservation laws | Tracking | Robustness (mathematics) | Two dimensional models | Mathematical models | Dimensional stability | Riemann solver

Journal Article

Shock Waves, ISSN 0938-1287, 7/2019, Volume 29, Issue 5, pp. 611 - 627

SLAU2 and AUSMPW $$+$$ + , both categorized as AUSM-type Riemann solvers, have been extensively developed in gasdynamics. They are based on a splitting of the...

Condensed Matter Physics | SLAU2 | HLLI | Engineering | Thermodynamics | Fluid- and Aerodynamics | Engineering Thermodynamics, Heat and Mass Transfer | MHD | Engineering Fluid Dynamics | Euler fluxes | Acoustics | AUSMPW | Fluid dynamics

Condensed Matter Physics | SLAU2 | HLLI | Engineering | Thermodynamics | Fluid- and Aerodynamics | Engineering Thermodynamics, Heat and Mass Transfer | MHD | Engineering Fluid Dynamics | Euler fluxes | Acoustics | AUSMPW | Fluid dynamics

Journal Article

1992, College of Aeronautics report, Volume no. 9208, 22

Book

Astrophysical Journal, Supplement Series, ISSN 0067-0049, 08/2016, Volume 225, Issue 2, pp. 22 - 22

We present a new general relativistic magnetohydrodynamics (GRMHD) code integrated into the Athena++ framework. Improving upon the techniques used in most...

relativistic processes | black hole physics | accretion, accretion disks | magnetohydrodynamics (MHD) | Constraints | Algorithms | Fluid dynamics | Solvers | Magnetic fields | Transport | Reliability | Riemann solver | MAGNETIC FIELDS | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | PERFORMANCE | G CODES | LIMITING VALUES | MAGNETOHYDRODYNAMICS | RELIABILITY | ALGORITHMS | ACCRETION DISKS | BLACK HOLES | CURVILINEAR COORDINATES | RELATIVISTIC RANGE

relativistic processes | black hole physics | accretion, accretion disks | magnetohydrodynamics (MHD) | Constraints | Algorithms | Fluid dynamics | Solvers | Magnetic fields | Transport | Reliability | Riemann solver | MAGNETIC FIELDS | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | PERFORMANCE | G CODES | LIMITING VALUES | MAGNETOHYDRODYNAMICS | RELIABILITY | ALGORITHMS | ACCRETION DISKS | BLACK HOLES | CURVILINEAR COORDINATES | RELATIVISTIC RANGE

Journal Article