TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES, AEROSPACE TECHNOLOGY JAPAN
Online ISSN : 1884-0485
ISSN-L : 1884-0485
Efficient Implicit Method for a High-Order Flux Reconstruction Approach Using Modified Matrix-Free Defect Correction
Koji MIYAJIHisato KOYAMA
Author information
JOURNAL RESTRICTED ACCESS

2022 Volume 20 Pages 16-25

Details
Abstract

An efficient implicit time integration method for high-order CFD using the flux reconstruction (FR) approach is studied. The formulation is based on the method called matrix-free defect correction on sub-cells (DECS), which considerably reduces the computational cost of the preconditioned block LU-SGS (BLU-SGS). However, the present method uses the exact FR formulation for the simplified viscous terms in the left-hand-side Jacobian, and it does not explicitly use sub-cell divisions as a result of using the finite-difference formula. The performance of the proposed method is compared with BLU-SGS and DECS. Reductions of the computation time for the convergence are not remarkable, but the slightly improved stability and reduced memory storage suggest the present method as a reliable alternative to the existing methods.

Related papers from these authors
© 2022 The Japan Society for Aeronautical and Space Sciences
Previous article Next article
feedback
Top