A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes. (2nd November 2016)

• Record Type: Journal Article
• Authors: Yu, Yunlong; Yao, Yanzhong; Yuan, Guangwei; Chen, Xingding
• Is Part Of: Communications in computational physics. Volume 20:Number 5(2016:Nov.)
• Page Start: 1405
• Page End: 1423
• Publication Date: 2016-11-02
• Subjects: 65M08, -- 65E05; Diffusion equations, -- conservation, -- parallel scheme, -- unstructured mesh; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.230815.030616a
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: In this paper, a conservative parallel iteration scheme is constructed to solve nonlinear diffusion equations on unstructured polygonal meshes. The design is based on two main ingredients: the first is that the parallelized domain decomposition is embedded into the nonlinear iteration; the second is that prediction and correction steps are applied at subdomain interfaces in the parallelized domain decomposition method. A new prediction approach is proposed to obtain an efficient conservative parallel finite volume scheme. The numerical experiments show that our parallel scheme is second-order accurate, unconditionally stable, conservative and has linear parallel speed-up.