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Showing 1 to 9 of 9 for “"compressible Euler equations"”.
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Adaptive Finite Element Methods for the Compressible Euler Equations
… hyperbolic conversation laws, as for example the compressible Euler equations of gas dynamics. Based on this finite element method, we develop an adaptive algorithm for the efficient computation of physically relevant quantities of the solution. This includes a posteriori error estimation of the …
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Invariant-region-preserving discontinuous Galerkin methods for systems of hyperbolic conservation laws
… are the p-system for two by two system and compressible Euler equations for three by three case. The feature that the invariant regions for these systems can be expressed by convex or concave functions of the solution to the system allows us to construct the IRP limiter in an explicit form, …
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An output-based adaptive and high-order method for a rotor in hover
… and output-based adaptation scheme for the compressible Euler equations are presented and applied to an isolated rotor in hover. A simplex cut-cell mesh generation technique is used to support robust and autonomous creation of higher-order meshes. The calculations are performed using a …
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Self-similar singularity formation and wellposedness theory for compressible fluids and dispersive PDE
… formation and local wellposedness of fluid equations and dispersive PDE. Regarding singularity formation, we construct radially symmetric smooth selfsimilar profiles for the compressible Euler equations which exhibit an implosion type singularity in finite time. This will be the first part …
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Shape Optimization of Supersonic Bodies to Reduce Sonic Boom Signature
… are performed with ANSYS Fluent using the compressible Euler equations. Excellent agreement between the computed pressure distributions and experimental results at all positions of the models is obtained. Shape optimization of the SEEB-ALR axisymmetric body to minimize the sonic boom …
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The development of dedicated CFD solver for aerodynamic analysis on internal and external flow
… suitable governing equation of fluid motion is a compressible Euler equations. Unfortunately, such a kind governing equation of fluid motion cannot be solved analytically; a numerical approach is required for solving it. The present work focuses on the use of two types of Finite Volume methods. …
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All Mach Number Schemes for Highly Magnetised MHD flows and Multi-material Modelling
… designed to address the multiscale nature of the equations and able to efficiently handle different acoustic and Alfvén Mach number regimes. The scheme is highly attractive for fusion applications, as it can simulate magnetically dominated plasmas that rapidly transition from a near-equilibrium …
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Computational modeling of advanced, multi-material energetic materials and systems
… issues that result from the use of real equations of state. From a software developing point of view, consistent code infrastructure also needs to be followed to allow the ability to easily implement new models and modify existing ones. Also, given the multi-scaled nature of these types …