Numerical Solution of Compressible Euler and Magnetohydrodynamic flow past an infinite cone

10/20/2019 ∙ by Ian Holloway, et al. ∙ 0

A numerical scheme is developed for systems of conservation laws on manifolds which arise in high speed aerodynamics and magneto-aerodynamics. The systems are presented in an arbitrary coordinate system on the manifold and involve source terms which account for the curvature of the domain. In order for a numerical method to accurately capture the behavior of the system it is solving, the equations must be discretized in a way that is not only consistent in value, but also models the appropriate character of the system. Such a discretization is presented in this work which preserves the tensorial transformation relationships involved in formulating equations in a curved space. A numerical method is then developed and applied to the conical Euler and Ideal Magnetohydrodynamic equations. To the author's knowledge, this is the first demonstration of a numerical solver for the conical Ideal MHD equations.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 22

page 35

page 41

page 42

This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.