Application of the Artificial Compression Method to the Simulation of Two-Dimensional Frontogenesis

The artificial compression method (ACM) that is generally used to capture the contact discontinuity innonviscous flows is used here in the simulation of quasi-geostrophic ideal frontogenesis in two dimensions.A comparison is made among the result of the ACM, the simulation result of Cullen, and the exact solutionof the semi-geostrophic equations. The simulated front in this paper is more prominent than Cullen's and ismuch closer to the exact solution.