A Non-oscillatory Scheme For Convection Discretization On Unstructured Meshes

It is a key task for non-oscillation numerical schemes constructed on structured mesh-es to work well on unstructured meshes.In order to suppress the unphysical oscillation of numerical solutions,some finite volume NVSF(Normalized Variable and Space For-mulation)schemes are constructed in this thesis under the triangular mesh based on the CBC(Convection Boundedness Criterion)criterion.In the second chapter,we give the concrete construction process and method,and give the specific variable relations under triangular mesh.For the discretization of time items,the third order Runge-Kutta scheme is adopted to ensure the overall accuracy of numerical schemes.Some typical examples are given in the latter part of the article.By comparing the exact solution of the typical example with the numerical solution,it is shown that the new numerical scheme has sec-ond order accuracy and has a good approximation near exact solution.It can suppress the unphysical oscillation of the discontinuity.