A class of well-balanced algorithms for relativistic fluids on a Schwarzschild background
DOI10.1007/s10915-021-01611-yzbMath1500.65052arXiv2011.07587OpenAlexW3196204921MaRDI QIDQ2050567
Ernesto Pimentel-García, Philippe G. LeFloch, C. Parés-Madroñal
Publication date: 31 August 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.07587
asymptotic behaviorSchwarzschild black holecompressible fluidrelativistic flowwell-balanced algorithm
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Black holes (83C57) Finite volume methods applied to problems in fluid mechanics (76M12) First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Self-similar solutions to PDEs (35C06) Finite volume methods for boundary value problems involving PDEs (65N08)
Uses Software
Cites Work
- Unnamed Item
- Scalar conservation laws on moving hypersurfaces
- Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
- Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
- A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior
- Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. II
- A wave propagation algorithm for hyperbolic systems on curved manifolds
- Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere
- Well-balanced high-order finite volume methods for systems of balance laws
- Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary
- On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes
- High-order well-balanced methods for systems of balance laws: a control-based approach
- Well-Balanced Schemes and Path-Conservative Numerical Methods
- A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods
- Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws
- Total variation diminishing Runge-Kutta schemes
- Compact Central WENO Schemes for Multidimensional Conservation Laws
- Convergence of the finite volume method on a Schwarzschild background
- A Geometry-Preserving Finite Volume Method for Compressible Fluids on Schwarzschild Spacetime
This page was built for publication: A class of well-balanced algorithms for relativistic fluids on a Schwarzschild background
