2013, 1st edition., ISBN 9780198528906, xv, 735

Relativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of matter from scales as small as those of colliding elementary...

Relativistic fluid dynamics | Physics | Hydrodynamics

Relativistic fluid dynamics | Physics | Hydrodynamics

Book

2.
Full Text
Model for an optically thick torus in local thermodynamic equilibrium around a black hole

Astronomy and Astrophysics, ISSN 0004-6361, 03/2014, Volume 563, pp. A17 - np

We propose a simple model for an optically thick radiative torus in local thermodynamic equilibrium around a Kerr black hole. The hydrodynamics structure,...

Relativistic processes | Radiation mechanisms: thermal | Black hole physics | ANGULAR-MOMENTUM | radiation mechanisms: thermal | RUNAWAY INSTABILITY | FLUID DISKS | ACCRETION DISKS | RADIATION | relativistic processes | SCHEME | black hole physics | ASTRONOMY & ASTROPHYSICS | DYNAMICS | RELATIVISTIC MAGNETOHYDRODYNAMIC SIMULATIONS | DISCS | Fluids | Local thermodynamic equilibrium | Computational fluid dynamics | Polishes | Fluid flow | Hydrodynamics | Black holes (astronomy) | Astronomy

Relativistic processes | Radiation mechanisms: thermal | Black hole physics | ANGULAR-MOMENTUM | radiation mechanisms: thermal | RUNAWAY INSTABILITY | FLUID DISKS | ACCRETION DISKS | RADIATION | relativistic processes | SCHEME | black hole physics | ASTRONOMY & ASTROPHYSICS | DYNAMICS | RELATIVISTIC MAGNETOHYDRODYNAMIC SIMULATIONS | DISCS | Fluids | Local thermodynamic equilibrium | Computational fluid dynamics | Polishes | Fluid flow | Hydrodynamics | Black holes (astronomy) | Astronomy

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 06/2016, Volume 314, pp. 824 - 862

•High order schemes for a unified first order hyperbolic formulation of continuum mechanics.•The mathematical model applies simultaneously to fluid mechanics...

Unified first order hyperbolic formulation of nonlinear continuum mechanics | Path-conservative methods and stiff source terms | Fluid mechanics and solid mechanics | Viscous compressible fluids and elastic solids | Arbitrary high-order discontinuous Galerkin schemes | ADER–WENO finite volume schemes | ADER-WENO finite volume schemes | ESSENTIALLY NONOSCILLATORY SCHEMES | DISCONTINUOUS GALERKIN METHOD | DIFFUSION-REACTION EQUATIONS | BLOOD-FLOW | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NAVIER-STOKES EQUATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS | SPECTRAL ELEMENT METHOD | GODUNOV-TYPE METHODS | UNSTRUCTURED MESHES | FINITE-VOLUME SCHEMES | Mechanical engineering | Analysis | Differential equations | Computational fluid dynamics | Partial differential equations | Computation | Mathematical analysis | Fluid flow | Mathematical models | Continuum mechanics | Navier-Stokes equations | Mathematics - Numerical Analysis | FLUIDS | STRAINS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | THERMAL CONDUCTION | MATHEMATICAL MODELS | WAVE PROPAGATION | RELAXATION | ASYMPTOTIC SOLUTIONS | FINITE ELEMENT METHOD | ELASTICITY | FLUID MECHANICS | THERMODYNAMICS | FLOW VISUALIZATION | HEAT FLUX

Unified first order hyperbolic formulation of nonlinear continuum mechanics | Path-conservative methods and stiff source terms | Fluid mechanics and solid mechanics | Viscous compressible fluids and elastic solids | Arbitrary high-order discontinuous Galerkin schemes | ADER–WENO finite volume schemes | ADER-WENO finite volume schemes | ESSENTIALLY NONOSCILLATORY SCHEMES | DISCONTINUOUS GALERKIN METHOD | DIFFUSION-REACTION EQUATIONS | BLOOD-FLOW | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NAVIER-STOKES EQUATIONS | PARTIAL-DIFFERENTIAL-EQUATIONS | SPECTRAL ELEMENT METHOD | GODUNOV-TYPE METHODS | UNSTRUCTURED MESHES | FINITE-VOLUME SCHEMES | Mechanical engineering | Analysis | Differential equations | Computational fluid dynamics | Partial differential equations | Computation | Mathematical analysis | Fluid flow | Mathematical models | Continuum mechanics | Navier-Stokes equations | Mathematics - Numerical Analysis | FLUIDS | STRAINS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | THERMAL CONDUCTION | MATHEMATICAL MODELS | WAVE PROPAGATION | RELAXATION | ASYMPTOTIC SOLUTIONS | FINITE ELEMENT METHOD | ELASTICITY | FLUID MECHANICS | THERMODYNAMICS | FLOW VISUALIZATION | HEAT FLUX

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 10/2009, Volume 228, Issue 18, pp. 6991 - 7006

In this paper we propose the first better than second order accurate method in space and time for the numerical solution of the resistive relativistic...

Unstructured meshes | High order finite volume and discontinuous Galerkin methods | schemes | Stiff source terms | Resistive relativistic magnetohydrodynamics | DISCONTINUOUS GALERKIN SCHEMES | TANG VORTEX SYSTEM | MAGNETIC RECONNECTION | MAGNETOHYDRODYNAMICS | PNPM schemes | COMPRESSIBLE MEDIUM | PLASMAS | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | EVOLUTION | ACTIVE GALACTIC NUCLEI | NONLINEAR HYPERBOLIC SYSTEMS | FINITE-VOLUME SCHEMES

Unstructured meshes | High order finite volume and discontinuous Galerkin methods | schemes | Stiff source terms | Resistive relativistic magnetohydrodynamics | DISCONTINUOUS GALERKIN SCHEMES | TANG VORTEX SYSTEM | MAGNETIC RECONNECTION | MAGNETOHYDRODYNAMICS | PNPM schemes | COMPRESSIBLE MEDIUM | PLASMAS | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | EVOLUTION | ACTIVE GALACTIC NUCLEI | NONLINEAR HYPERBOLIC SYSTEMS | FINITE-VOLUME SCHEMES

Journal Article

Computer Physics Communications, ISSN 0010-4655, 03/2015, Volume 188, pp. 110 - 127

We present a high order one-step ADER–WENO finite volume scheme with space–time adaptive mesh refinement (AMR) for the solution of the special relativistic...

Magnetohydrodynamics | High order ADER–WENO finite volume scheme | Time-accurate local time stepping (LTS) | Space–time adaptive mesh refinement (AMR) | Special relativity | Space-time adaptive mesh refinement (AMR) | ADER-WENO finite volume scheme | High order | INSTABILITY | MHD | EQUATIONS | DISCONTINUOUS GALERKIN METHOD | PHYSICS, MATHEMATICAL | RADIATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | High order ADER-WENO finite volume scheme | EXPANSION | FLOWS | EXACT RIEMANN SOLVER | UNSTRUCTURED MESHES | FINITE-VOLUME SCHEMES | Mechanical engineering | Algorithms | Wave propagation | Computational fluid dynamics | Mathematical analysis | Fluid flow | Magnetohydrodynamic equations | Hydrodynamics | Mathematical models | Runge-Kutta method | Galerkin methods

Magnetohydrodynamics | High order ADER–WENO finite volume scheme | Time-accurate local time stepping (LTS) | Space–time adaptive mesh refinement (AMR) | Special relativity | Space-time adaptive mesh refinement (AMR) | ADER-WENO finite volume scheme | High order | INSTABILITY | MHD | EQUATIONS | DISCONTINUOUS GALERKIN METHOD | PHYSICS, MATHEMATICAL | RADIATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | High order ADER-WENO finite volume scheme | EXPANSION | FLOWS | EXACT RIEMANN SOLVER | UNSTRUCTURED MESHES | FINITE-VOLUME SCHEMES | Mechanical engineering | Algorithms | Wave propagation | Computational fluid dynamics | Mathematical analysis | Fluid flow | Magnetohydrodynamic equations | Hydrodynamics | Mathematical models | Runge-Kutta method | Galerkin methods

Journal Article

Monthly Notices of the Royal Astronomical Society, ISSN 0035-8711, 10/2015, Volume 452, Issue 3, pp. 3010 - 3029

We present a new numerical tool for solving the special relativistic ideal magnetohydrodynamics (MHD) equations that is based on the combination of the...

Shock waves | MHD- relativistic processes | Methods: numerical | HLLC RIEMANN SOLVER | TANG VORTEX SYSTEM | VARIATION DIMINISHING SCHEME | WENO SCHEMES | MHD | HIGH-ORDER | methods: numerical | MULTIDIMENSIONAL NUMERICAL SCHEME | relativistic processes | VOLUME SCHEMES | ASTRONOMY & ASTROPHYSICS | CONSERVATION-LAWS | UNSTRUCTURED MESHES | FINITE-ELEMENT-METHOD | shock waves

Shock waves | MHD- relativistic processes | Methods: numerical | HLLC RIEMANN SOLVER | TANG VORTEX SYSTEM | VARIATION DIMINISHING SCHEME | WENO SCHEMES | MHD | HIGH-ORDER | methods: numerical | MULTIDIMENSIONAL NUMERICAL SCHEME | relativistic processes | VOLUME SCHEMES | ASTRONOMY & ASTROPHYSICS | CONSERVATION-LAWS | UNSTRUCTURED MESHES | FINITE-ELEMENT-METHOD | shock waves

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 12/2014, Volume 278, pp. 47 - 75

The purpose of this work is to propose a novel a posteriori finite volume subcell limiter technique for the Discontinuous Galerkin finite element method for...

ADER-DG | High performance computing (HPC) | Hyperbolic conservation laws | ADER-WENO | Arbitrary high-order discontinuous Galerkin schemes | MOOD paradigm | A posteriori subcell finite volume limiter | HERMITE WENO SCHEMES | HLLC RIEMANN SOLVER | EFFICIENT IMPLEMENTATION | PHYSICS, MATHEMATICAL | HIGH-ORDER SCHEMES | ARTIFICIAL VISCOSITY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | VOLUME SCHEMES | ADER SCHEMES | COMPRESSIBLE FLOW | DYNAMIC GRID MOTION | UNSTRUCTURED MESHES | Finite element method | Laws, regulations and rules | Analysis | Environmental law | Methods | Conservation laws | Accuracy | Computer simulation | Mathematical analysis | Galerkin methods | Constraining | Three dimensional | Mathematics - Numerical Analysis | Numerical Analysis | Mathematics

ADER-DG | High performance computing (HPC) | Hyperbolic conservation laws | ADER-WENO | Arbitrary high-order discontinuous Galerkin schemes | MOOD paradigm | A posteriori subcell finite volume limiter | HERMITE WENO SCHEMES | HLLC RIEMANN SOLVER | EFFICIENT IMPLEMENTATION | PHYSICS, MATHEMATICAL | HIGH-ORDER SCHEMES | ARTIFICIAL VISCOSITY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | VOLUME SCHEMES | ADER SCHEMES | COMPRESSIBLE FLOW | DYNAMIC GRID MOTION | UNSTRUCTURED MESHES | Finite element method | Laws, regulations and rules | Analysis | Environmental law | Methods | Conservation laws | Accuracy | Computer simulation | Mathematical analysis | Galerkin methods | Constraining | Three dimensional | Mathematics - Numerical Analysis | Numerical Analysis | Mathematics

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 09/2013, Volume 248, pp. 257 - 286

We present the first high order one-step ADER-WENO finite volume scheme with adaptive mesh refinement (AMR) in multiple space dimensions. High order spatial...

Hyperbolic conservation laws | Adaptive mesh refinement (AMR) | Time accurate local timestepping | MHD equations | ADER approach | Space–time adaptive grids | High order WENO reconstruction | Euler equations | Local space–time DG predictor | Space-time adaptive grids | Local space-time DG predictor | GENERALIZED RIEMANN PROBLEM | TANG VORTEX SYSTEM | EFFICIENT IMPLEMENTATION | FLUID-DYNAMICS | ESSENTIALLY NONOSCILLATORY SCHEMES | DISCONTINUOUS GALERKIN METHOD | HIGH-ORDER | PHYSICS, MATHEMATICAL | SHOCK-CAPTURING SCHEMES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | UNSTRUCTURED MESHES | HYPERBOLIC CONSERVATION-LAWS | Analysis | Algorithms

Hyperbolic conservation laws | Adaptive mesh refinement (AMR) | Time accurate local timestepping | MHD equations | ADER approach | Space–time adaptive grids | High order WENO reconstruction | Euler equations | Local space–time DG predictor | Space-time adaptive grids | Local space-time DG predictor | GENERALIZED RIEMANN PROBLEM | TANG VORTEX SYSTEM | EFFICIENT IMPLEMENTATION | FLUID-DYNAMICS | ESSENTIALLY NONOSCILLATORY SCHEMES | DISCONTINUOUS GALERKIN METHOD | HIGH-ORDER | PHYSICS, MATHEMATICAL | SHOCK-CAPTURING SCHEMES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | UNSTRUCTURED MESHES | HYPERBOLIC CONSERVATION-LAWS | Analysis | Algorithms

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 11/2017, Volume 348, pp. 298 - 342

In this paper, we propose a new unified first order hyperbolic model of Newtonian continuum mechanics coupled with electro-dynamics. The model is able to...

Unified first order hyperbolic model of continuum physics (fluid mechanics, solid mechanics, electro-dynamics) | Arbitrary high-order ADER Discontinuous Galerkin schemes | Symmetric hyperbolic thermodynamically compatible systems (SHTC) | Nonlinear hyperelasticity | Path-conservative methods and stiff source terms | Finite signal speeds of all physical processes | Galerkin schemes | GENERALIZED RIEMANN PROBLEM | TANG VORTEX SYSTEM | ADAPTIVE MESH REFINEMENT | DISCONTINUOUS GALERKIN METHOD | DIFFUSION-REACTION EQUATIONS | Arbitrary high-order ADER Discontinuous | PHYSICS, MATHEMATICAL | HIGH-VELOCITY IMPACT | KELVIN-HELMHOLTZ INSTABILITY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | STIFF RELAXATION TERMS | CONSERVATION-LAWS | FINITE-VOLUME SCHEMES | Thermodynamics | Fluid dynamics | Magnetic fields | Electric fields | Analysis | Differential equations | Physics - Fluid Dynamics

Unified first order hyperbolic model of continuum physics (fluid mechanics, solid mechanics, electro-dynamics) | Arbitrary high-order ADER Discontinuous Galerkin schemes | Symmetric hyperbolic thermodynamically compatible systems (SHTC) | Nonlinear hyperelasticity | Path-conservative methods and stiff source terms | Finite signal speeds of all physical processes | Galerkin schemes | GENERALIZED RIEMANN PROBLEM | TANG VORTEX SYSTEM | ADAPTIVE MESH REFINEMENT | DISCONTINUOUS GALERKIN METHOD | DIFFUSION-REACTION EQUATIONS | Arbitrary high-order ADER Discontinuous | PHYSICS, MATHEMATICAL | HIGH-VELOCITY IMPACT | KELVIN-HELMHOLTZ INSTABILITY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | STIFF RELAXATION TERMS | CONSERVATION-LAWS | FINITE-VOLUME SCHEMES | Thermodynamics | Fluid dynamics | Magnetic fields | Electric fields | Analysis | Differential equations | Physics - Fluid Dynamics

Journal Article

Computers and Fluids, ISSN 0045-7930, 09/2015, Volume 118, pp. 204 - 224

•Very high order accurate adaptive mesh refinement (AMR) with local time stepping.•A posteriori subcell limiter for arbitrary high order accurate DG...

High order space–time adaptive mesh refinement (AMR) | Hyperbolic conservation laws | MOOD paradigm | ADER-DG and ADER-WENO finite volume schemes | A posteriori sub-cell finite volume limiter | Arbitrary high-order discontinuous Galerkin schemes | High order space-time adaptive mesh refinement (AMR) | HERMITE WENO SCHEMES | GENERALIZED RIEMANN PROBLEM | TANG VORTEX SYSTEM | EFFICIENT IMPLEMENTATION | ASYMPTOTIC-EXPANSION | HIGH-ORDER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | MESH REFINEMENT | COMPRESSIBLE FLOW | CONSERVATION-LAWS | UNSTRUCTURED MESHES | Fluid dynamics | Environmental law | Magnetohydrodynamics | Fluids | Computational fluid dynamics | Mathematical analysis | Fluid flow | Mathematical models | Polynomials | Galerkin methods

High order space–time adaptive mesh refinement (AMR) | Hyperbolic conservation laws | MOOD paradigm | ADER-DG and ADER-WENO finite volume schemes | A posteriori sub-cell finite volume limiter | Arbitrary high-order discontinuous Galerkin schemes | High order space-time adaptive mesh refinement (AMR) | HERMITE WENO SCHEMES | GENERALIZED RIEMANN PROBLEM | TANG VORTEX SYSTEM | EFFICIENT IMPLEMENTATION | ASYMPTOTIC-EXPANSION | HIGH-ORDER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | MESH REFINEMENT | COMPRESSIBLE FLOW | CONSERVATION-LAWS | UNSTRUCTURED MESHES | Fluid dynamics | Environmental law | Magnetohydrodynamics | Fluids | Computational fluid dynamics | Mathematical analysis | Fluid flow | Mathematical models | Polynomials | Galerkin methods

Journal Article

Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 01/2014, Volume 268, pp. 359 - 387

•Better than second order accurate space–time adaptive mesh refinement (AMR).•Time accurate local time stepping (LTS).•High order ADER-WENO finite volume...

Baer–Nunziato model | Adaptive mesh refinement (AMR) | Time accurate local time stepping | Path-conservative WENO finite volume schemes | High order ADER approach | Compressible multi-phase flows | Baer-Nunziato model | COMPRESSIBLE 2-PHASE FLOW | ESSENTIALLY NONOSCILLATORY SCHEMES | DISCONTINUOUS GALERKIN METHOD | GHOST FLUID METHOD | FREE-SURFACE FLOWS | SHALLOW-WATER SYSTEMS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | TO-DETONATION TRANSITION | ENGINEERING, MULTIDISCIPLINARY | MESH REFINEMENT | 3-DIMENSIONAL CONSERVATION-LAWS | UNSTRUCTURED MESHES | Adaptive systems | Discretization | Multiphase flow | Mathematical analysis | Strategy | Mathematical models | Galerkin methods | Hyperbolic systems

Baer–Nunziato model | Adaptive mesh refinement (AMR) | Time accurate local time stepping | Path-conservative WENO finite volume schemes | High order ADER approach | Compressible multi-phase flows | Baer-Nunziato model | COMPRESSIBLE 2-PHASE FLOW | ESSENTIALLY NONOSCILLATORY SCHEMES | DISCONTINUOUS GALERKIN METHOD | GHOST FLUID METHOD | FREE-SURFACE FLOWS | SHALLOW-WATER SYSTEMS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | TO-DETONATION TRANSITION | ENGINEERING, MULTIDISCIPLINARY | MESH REFINEMENT | 3-DIMENSIONAL CONSERVATION-LAWS | UNSTRUCTURED MESHES | Adaptive systems | Discretization | Multiphase flow | Mathematical analysis | Strategy | Mathematical models | Galerkin methods | Hyperbolic systems

Journal Article