4 papers
Higher-Order Multilevel Framework for ADER Scheme in Computational Aeroacoustics
S. M. Joshi, A. Chatterjee
The versatile Arbitrary-DERivative (ADER) scheme is cast in a multilevel framework (ML-ADER) for fast solution of system of linear hyperbolic partial differential equations. The so…
A deflated Schur complement method for the iterative solution of a high-order discontinuous element discretization of the Poisson equation
Sumedh Joshi, Peter Diamessis
A combination of block-Jacobi and deflation preconditioning is used to solve a high-order discontinuous element-based collocation discretization of the Schur complement of the Pois…
Deflation-accelerated preconditioning of the Poisson-Neumann Schur problem on long domains with a high-order discontinuous element-based collocation method
Sumedh M. Joshi, Greg N. Thomsen, Peter J. Diamessis
A combination of block-Jacobi and deflation preconditioning is used to solve a high-order discontinuous collocation-based discretization of the Schur complement of the Poisson-Neum…
A post-processing technique for stabilizing the discontinuous pressure projection operator in marginally-resolved incompressible inviscid flow
Sumedh M. Joshi, Peter J. Diamessis, Derek T. Steinmoeller +2
A method for post-processing the velocity after a pressure projection is developed that helps to maintain stability in an under-resolved, inviscid, discontinuous element-based simu…