High resolution finite volume computations on unstructured grids using solution dependent weighted least squares gradients

DOI10.1016/j.compfluid.2010.11.021zbMath1271.76189OpenAlexW2005972332MaRDI QIDQ365253

J. C. Mandal, Sundeep P. Rao

Publication date: 4 September 2013

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0045793010003336

zbMATH Keywords

Navier-Stokes equationsfinite volume methodunstructured meshesEuler equationshigh resolution schemequadratic reconstructionsolution dependent weights

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)

Related Items

A cure for numerical shock instability in HLLC Riemann solver using antidiffusion control, Evaluation of diffusive flux across faces of arbitrary shaped finite volume cells, Upwind WENO scheme for shallow water equations in contravariant formulation, A vertex-based reconstruction for cell-centered finite-volume discretization on unstructured grids, Convective-pressure flux split algorithm for incompressible flow computation using artificial compressibility formulation, High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids, Improvement of the genuinely multidimensional ME-AUSMPW scheme for subsonic flows, A unification of least-squares and Green-Gauss gradients under a common projection-based gradient reconstruction framework

Uses Software

• LAPACK

Cites Work

• Unnamed Item
• Finite-volume WENO schemes for three-dimensional conservation laws
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Restoration of the contact surface in the HLL-Riemann solver
• Weighted essentially non-oscillatory schemes
• High resolution schemes for hyperbolic conservation laws. (Reprint)
• TVD schemes for unstructured grids.
• An adaptive solution of the 3-D Euler equations on an unstructured grid
• On the link between weighted least-squares and limiters used in higher-order reconstructions for finite volume computations of hyperbolic equations
• LAPACK Users' Guide
• Total variation diminishing Runge-Kutta schemes
• On the Choice of Wavespeeds for the HLLC Riemann Solver
• WENO Schemes for Mixed-element Unstructured Meshes
• High‐order ENO and WENO schemes for unstructured grids
• High‐resolution finite volume computations using a novel weighted least‐squares formulation