A Parallel Adaptive Newton-Krylov-Schwarz Method for 3D Compressible Inviscid Flow Simulations. (14th January 2012)

• Record Type: Journal Article
• Authors: Sala, Marzio; Leyland, Pénélope; Casagrande, Angelo
• Other Names: Jeng MuDer Academic Editor.
• Is Part Of: Modelling and simulation in engineering. Volume 2013(2013)
• Publication Date: 2012-01-14
• Subjects: Engineering -- Simulation methods -- Periodicals; Engineering -- Mathematical models -- Periodicals; 620.004
• DOI: 10.1155/2013/694354
• Languages: English
• ISSNs: 1687-5591

Abstract

Abstract : A parallel adaptive pseudo transient Newton-Krylov-Schwarz (α Ψ NKS) method for the solution of compressible flows is presented. Multidimensional upwind residual distribution schemes are used for space discretisation, while an implicit time-marching scheme is employed for the discretisation of the (pseudo)time derivative. The linear system arising from the Newton method applied to the resulting nonlinear system is solved by the means of Krylov iterations with Schwarz-type preconditioners. A scalable and efficient data structure for the α Ψ NKS procedure is presented. The main computational kernels are considered, and an extensive analysis is reported to compare the Krylov accelerators, the preconditioning techniques. Results, obtained on a distributed memory computer, are presented for 2D and 3D problems of aeronautical interest on unstructured grids.