dc.contributor.advisor | Wang, Ying | |
dc.contributor.author | Jin, Ling | |
dc.date.accessioned | 2022-07-29T13:02:02Z | |
dc.date.available | 2022-07-29T13:02:02Z | |
dc.date.issued | 2022-08-04 | |
dc.identifier.uri | https://hdl.handle.net/11244/336276 | |
dc.description.abstract | We discussed the finite difference WENO5 scheme on the 1D and 2D compressible Euler equations. The 1D Chaplygin gas system with a constant external force led to two kinds of solutions: contact discontinuity and delta shock. A convex set and a limiter were applied to the 2D pressureless system to preserve the positivity of the density function and the boundedness of the velocity field. A global condition on the density function was applied to maintain the scheme’s high order of accuracy, as well as to reduce the computational cost. | en_US |
dc.language | en | en_US |
dc.subject | Finite difference | en_US |
dc.subject | Euler Equations | en_US |
dc.subject | Pressureless | en_US |
dc.subject | Chaplygin Gas | en_US |
dc.title | Finite difference method on 1D and 2D Riemann problems for Euler equations with different state of equations | en_US |
dc.contributor.committeeMember | Albert, John | |
dc.contributor.committeeMember | Grigo, Alexander | |
dc.contributor.committeeMember | Petrov, Nikola | |
dc.contributor.committeeMember | Ruyle, Jessica | |
dc.date.manuscript | 2022-07-28 | |
dc.thesis.degree | Ph.D. | en_US |
ou.group | Dodge Family College of Arts and Sciences::Department of Mathematics | en_US |
shareok.nativefileaccess | restricted | en_US |