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4.1 High-resolution shock-capturing schemes
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Simulación Numérica por Ordenador
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3.3.4 The Riemann problem
4
Métodos en diferencias finitas en dinámica de fluidos computacional
Subsections
4
.
1
High-resolution shock-capturing schemes
4
.
1
.
1
Godunov's method
4
.
1
.
2
Exact solution of a Riemann problem
4
.
1
.
3
High-resolution shock-capturing schemes
4
.
2
Riemann solvers
4
.
2
.
1
Exact Riemann solvers in relativistic hydrodynamics
4
.
2
.
2
Approximate Riemann solvers
4
.
2
.
3
The Roe solver
4
.
2
.
4
The Marquina solver
4
.
2
.
5
Extensions of classical solvers to relativistic fluid dynamics
4
.
3
A standard implementation of a HRSC scheme
4
.
4
Source terms
4
.
5
Multidimensional problems
4
.
6
General Relativistic Hydrodynamic Equations
4
.
7
One-dimensional numerical tests
4
.
7
.
1
Relativistic shock tube
4
.
7
.
2
Relativistic blast wave
4
.
7
.
3
Relativistic shock reflection
4
.
7
.
4
Spherical (Bondi) accretion onto a black hole
4
.
8
Two-dimensional numerical tests