A non-uniform mesh scheme is presented for the computation of compressible flows governed by the Euler equations of gas dynamics. The scheme is based on flux-difference splitting and represents an extension of a similar scheme designed for uniform meshes. The numerical results demonstrate that little, if any, spurious oscillation occurs as a result of the non-uniformity of the mesh; and importantly, shock speeds are computed correctly. © 1991.
Glaister, P. (1991). A non-uniform mesh scheme for compressible flow. Computers and Mathematics with Applications, 21(4), 39–62. https://doi.org/10.1016/0898-1221(91)90246-Z