The artificial compression method (ACM) that is generally used to capture the contact discontinuity in nonviscous flows is used here in the simulation of quasi-geostrophic ideal frontogenesis in two dimensions. A comp...The artificial compression method (ACM) that is generally used to capture the contact discontinuity in nonviscous 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 solution of the semi-geostrophic equations. The simulated front in this paper is more prominent than Cullen′s and is much closer to the exact solution.展开更多
This paper is a continuation of the domain decomposition method according to thephysics scale proposed in [1] and [2]. Starting from systems of ordinary differentialequattons, a solution is decomposed into an outer so...This paper is a continuation of the domain decomposition method according to thephysics scale proposed in [1] and [2]. Starting from systems of ordinary differentialequattons, a solution is decomposed into an outer solution (0) and its boundary layercorrections (BLC) mainly on the fixed boundary. For efficient numerical solution,different equations, different numerical methods and different grids can be suitablychosen for the different scales. This paper also gives the characteristic nature and well-posed boundary condition about artificial compressible equations. Numericalexperiments show that the computational method and the couple process presented inthe paper are effective.展开更多
基金The project was supported by the Nutional Key Planning Development Project for Basic Research (G199903280l)the Key Innovition Project of the Chinese Academy of Sciences (KZCX2-208).
文摘The artificial compression method (ACM) that is generally used to capture the contact discontinuity in nonviscous 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 solution of the semi-geostrophic equations. The simulated front in this paper is more prominent than Cullen′s and is much closer to the exact solution.
文摘This paper is a continuation of the domain decomposition method according to thephysics scale proposed in [1] and [2]. Starting from systems of ordinary differentialequattons, a solution is decomposed into an outer solution (0) and its boundary layercorrections (BLC) mainly on the fixed boundary. For efficient numerical solution,different equations, different numerical methods and different grids can be suitablychosen for the different scales. This paper also gives the characteristic nature and well-posed boundary condition about artificial compressible equations. Numericalexperiments show that the computational method and the couple process presented inthe paper are effective.
