Postshock Oscillations on Non-Uniform Mesh - Journal of Applied Mathematics and Physics

JAMP > Vol.5 No.2, February 2017

Postshock Oscillations on Non-Uniform Mesh ()

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DOI: 10.4236/jamp.2017.52043 1,075 Downloads 1,783 Views

Author(s)

Fuxing Hu

Affiliation(s)

Department of Mathematics, Huizhou University, Guangdong, China.

ABSTRACT

An investigation of postshock oscillations on non-uniform grids is performed in this paper. These oscillations are generated as shock passes through the grid interfaces. The LLF scheme is checked for 1D and 2D problems on the discontinuous grids. Oscillations are observed only for nonlinear systems and the solutions of the scalar conservation laws and linear systems behave logically. The integral curves suggest underlying properties of these oscillations. The results of the paper reveal a flaw that adaptive methods for conservation laws have to refine grids at each time step.

KEYWORDS

Nonuniform Mesh, Hyperbolic Conservation Laws, Postshock Oscillation

Share and Cite:

Hu, F. (2017) Postshock Oscillations on Non-Uniform Mesh. Journal of Applied Mathematics and Physics, 5, 481-493. doi: 10.4236/jamp.2017.52043.

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