Numerical Investigation of the Wave-Front Tracking Algorithm for the Full Ultra-Relativistic Euler Equations
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Mahmoud A.E. Abdelrahman
Abstract
We introduce a generalized version of the front tracking algorithm for the full ultra-relativistic Euler system. The construction and analysis of this algorithm are somewhat simpler than other algorithms. Moreover, this scheme leads to a more robust and efficient result. The scheme also satisfies positivity. This scheme is compared with other two schemes by two numerical test cases. Furthermore we give another application of this scheme, namely we check the explicit formula of interaction of two generalized shocks, by further numerical test case.
Acknowledgements:
The author thanks the editor and anonymous reviewers for their profitable comments and suggestions.
References
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Articles in the same Issue
- Frontmatter
- Numerical Exploration of Heat Transfer and Lorentz Force Effects on the Flow of MHD Casson Fluid over an Upper Horizontal Surface of a Thermally Stratified Melting Surface of a Paraboloid of Revolution
- Ambient Vibration-Based System Identification of a Medieval Masonry Bastion for Health Assessment using Nonlinear Analyses
- Solvability of Anti-periodic BVPs for Impulsive Fractional Differential Systems Involving Caputo and Riemann–Liouville Fractional Derivatives
- Microcontroller Control/Synchronization of the Dynamics of Van der Pol Oscillators Submitted to Disturbances
- An Efficient Method for the Numerical Solution of a Class of Nonlinear Fractional Fredholm Integro-Differential Equations
- Radiant Heat Transfer in Nitrogen-Free Combustion Environments
- Variational Approaches to P(X)-Laplacian-Like Problems with Neumann Condition Originated from a Capillary Phenomena
- Global Mittag–Leffler Synchronization for Impulsive Fractional-Order Neural Networks with Delays
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Multiplicity Results for Degenerate Fractional
- Numerical Investigation of the Wave-Front Tracking Algorithm for the Full Ultra-Relativistic Euler Equations
