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Paper: A Fast Numerical Scheme for the Causal Relativistic Dissipative Hydrodynamics
Volume: 453, Advances in Computational Astrophysics: Methods, Tools, and Outcome
Page: 191
Authors: Takamoto, M.; Inutsuka, S.
Abstract: We present a new numerical scheme for relativistic dissipative hydrodynamics based on Israel-Stewart theory. Israel-Stewart theory is a stable and causal relativistic dissipation theory. However, this theory includes stiff equations, and this makes it difficult to integrate it numerically. In our new scheme, we use splitting method, and use the Piecewise Exact Solution method for solving this extremely short timescale problem. The use of the formal solution eliminates the Courant condition for relaxation. In addition, since we split the calculations into inviscid step and dissipative step, Riemann solver can be used for obtaining numerical flux for inviscid step. The use of Riemann solver enables us to capture shocks very accurately. The present scheme can be applied to various high energy phenomena of astrophysics and nuclear physics.
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