Relativistic Burgers Models on Curved Background Geometries

2018-06-16

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Relativistic Burgers Models on Curved Background Geometries
Okutmuştur, Baver (Springer-Verlag, 2019-01-01)
Relativistic Burgers model and its generalization to various spacetime geometries are recently studied both theoretically and numerically. The numeric implementation is based on finite volume and finite difference approximation techniques designed for the corresponding model on the related geometry. In this work, we provide a summaryof several versions of these models on the Schwarzschild, de Sitter, Schwarzschild-de Sitter, FLRW and Reissner-Nordstr¨om spacetime geometries with their particular properties.
Relativistic Burgers equations on a curved spacetime
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RELATIVISTIC BURGERS EQUATIONS ON CURVED SPACETIMES. DERIVATION AND FINITE VOLUME APPROXIMATION
Lefloch, Philippe G.; Makhlof, Hasan; Okutmuştur, Baver (2012-01-01)
Within the class of nonlinear hyperbolic balance laws posed on a curved spacetime (endowed with a volume form), we identify a hyperbolic balance law that enjoys the same Lorentz invariance property as the one satisfied by the Euler equations of relativistic compressible fluids. This model is unique up to normalization and converges to the standard inviscid Burgers equation in the limit of infinite light speed. Furthermore, from the Euler system of relativistic compressible flows on a curved background, we d...
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Citation Formats
B. Okutmuştur, “Relativistic Burgers Models on Curved Background Geometries,” 2018, vol. 11386, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37497.