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A geometry-preserving finite volume method for compressible fluids on Schwarzschild spacetime

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Figure 3.2. Two steady solutions Y = e T 11 for the radius r = .8 with ρ ( R ) = 460 and V ( R ) = .001.
Figure 3.3. Two steady solutions e T 11 for a fixed radius r = .8 with ρ ( R ) = 460 and V ( R ) = .001.
Figure 3.4. Steady solutions on Schwarzschild spacetime: (a) velocity (b) density with ρ ( R ) = 460, V ( R ) = 0.001, σ = 0.3, R = 2, 2m = 0.2.
Figure 5.1.1. Numerical solutions with the standard and well–balanced schemes.
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