Numerical hydrodynamics in general relativity
From MaRDI portal
Publication:5916211
DOI10.12942/lrr-2003-4zbMath1068.83501OpenAlexW4211157367WikidataQ56048464 ScholiaQ56048464MaRDI QIDQ5916211
Publication date: 31 May 2005
Published in: Living Reviews in Relativity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.12942/lrr-2003-4
Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Computational methods for problems pertaining to relativity and gravitational theory (83-08)
Related Items
Signature-causality reflection in an imperfect fluid with vorticity generated by tetrad abelian gauge transformations ⋮ On the locally rotationally symmetric Einstein-Maxwell perfect fluid ⋮ Control of numerical effects of dispersion and dissipation in numerical schemes for efficient shock-capturing through an optimal Courant number ⋮ Super-spinning Kerr attractors: observational signatures of accretion tori and proto-jets ⋮ Divergence-free magnetohydrodynamics on conformally moving, adaptive meshes using a vector potential method ⋮ Symmetry evolution for the imperfect fluid under perturbations ⋮ Computational cosmology: from the early universe to the large scale structure ⋮ On the relation between atmospheric and internal motions in an astrophysical object ⋮ Numerical Simulations of Black Hole Formation ⋮ Numerical hydrodynamics and magnetohydrodynamics in general relativity ⋮ Spectral methods for numerical relativity ⋮ Aspects of GRMHD in high-energy astrophysics: geometrically thick disks and tori agglomerates around spinning black holes ⋮ Characteristic evolution and matching ⋮ Euler observers for the perfect fluid without vorticity
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The piecewise parabolic method (PPM) for gas-dynamical simulations
- Non-oscillatory central differencing for hyperbolic conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
- Construction of explicit and implicit symmetric TVD schemes and their applications
- An approximate linearised Riemann solver for the Euler equations for real gases
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Kernel estimates as a basis for general particle methods in hydrodynamics
- New algorithms for ultra-relativistic numerical hydrodynamics
- Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow
- A flux-split algorithm applied to relativistic flows
- Rotating objects and relativistic physics. Proceedings of the El Escorial summer school on gravitation and general relativity 1992: Rotating objects and other topics, held at El Escorial, Spain, 24-28 August 1992
- Riemann solver for relativistic hydrodynamics
- A relativistic smoothed particle hydrodynamics method tested with the shock tube
- Ultrarelativistic SPH
- Riemann solvers in relativistic astrophysics
- Spectral methods in general relativistic astrophysics
- Relativistic hydrodynamics and essentially non-oscillatory shock capturing schemes
- Extension of the piecewise parabolic method to one-dimensional relativistic hydrodynamics
- Capturing shock reflections: An improved flux formula
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Numerical relativity: a review
- An improved exact Riemann solver for relativistic hydrodynamics
- Evolution of three-dimensional gravitational waves: Harmonic slicing case
- Numerical integration of Einstein’s field equations
- Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
- Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
- On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
- On a non-linear non-stationary inverse problem of hydrodynamics
- Hydromagnetic flows from accretion discs and the production of radio jets
- The dynamical stability of differentially rotating discs with constant specific angular momentum
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- A remark on the numerical solution of linear inverse problems with discrete data
- TVB Uniformly High-Order Schemes for Conservation Laws
- On Godunov-Type Methods for Gas Dynamics
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- On the laws of relativistic electro-magneto-fluid dynamics
- Exact solution of anN-body problem in one dimension
- The analytical solution of the Riemann problem in relativistic hydrodynamics
- Null cone evolution of axisymmetric vacuum space–times
- An improved exact Riemann solver for multi-dimensional relativistic flows
- Critical phenomena in perfect fluids
- Ultrarelativistic fluid dynamics
- The exact solution of the Riemann problem with non-zero tangential velocities in relativistic hydrodynamics
- Gravitational waves from relativistic rotational core collapse in axisymmetry
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows
- Relativistic Fluids and Magneto-fluids
- Dissipative fluid dynamics in the 3 + 1 formalism
- Gravitational Waves from the Merger of Binary Neutron Stars in a Fully General Relativistic Simulation
- Uniqueness in MHD in divergence form: Right nullvectors and well-posedness
- Hidden symmetry of the differential calculus on the quantum matrix space
- Discontinuous solutions of non-linear differential equations
- Systems of conservation laws
- A Method for the Numerical Calculation of Hydrodynamic Shocks
- Rotating stars in relativity
- Computational cosmology: from the early universe to the large scale structure
- Gravitational waves from gravitational collapse
- Critical phenomena in gravitational collapse
- Numerical hydrodynamics in special relativity
- Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works
- Characteristic evolution and matching