An adaptive continuation-multigrid method for the balanced vortex model

作者：Chen Ye; Fulton Scott R^*

来源：Journal of Computational Physics, 2010, 229(6): 2236-2248.

DOI：10.1016/j.jcp.2009.11.032

• Multigrid
• Monge-Ampere
• Balanced vortex
• Continuation

Obtaining solutions of the Eliassen balanced vortex model requires solving an invertibility relation. which is a nonlinear elliptic problem of the Monge-Ampere type. Multigrid techniques for this problem are investigated. An adaptive algorithm which combines the full multigrid method with continuation in a parameter related to the strength of the forcing is developed. Numerical results demonstrate the efficiency and robustness of this algorithm.

• 出版日期2010-3-20