Efficient Fully Discrete Summation-by-Parts Schemes for Unsteady Flow Problems: An Initial Investigation

DOI10.1007/978-3-319-19800-2_31zbMath1353.76054OpenAlexW2181962679MaRDI QIDQ2831222

Jan Nordstöm, Tomas Lundquist

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-123121

zbMATH Keywords

Navier-Stokes equationsboundary layerfinite difference approximationadvection-diffusion problem

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Diffusion and convection (76R99)

Cites Work

• Efficient fully discrete summation-by-parts schemes for unsteady flow problems
• Summation-by-parts in time
• The SBP-SAT technique for initial value problems
• A generalized framework for nodal first derivative summation-by-parts operators
• A stable high-order finite difference scheme for the compressible Navier-Stokes equations: No-slip wall boundary conditions
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• Spectral methods on arbitrary grids
• On nonlinear preconditioners in Newton-Krylov methods for unsteady flows
• High-Order Implicit Time-Marching Methods Based on Generalized Summation-By-Parts Operators
• Iterative solution techniques for unsteady flow computations using higher order time integration schemes
• High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates

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