An adaptive-mesh finite-difference solution method for the Navier-Stokes equations

DOI10.1016/0021-9991(87)90059-3zbMath0609.76022OpenAlexW2073959851MaRDI QIDQ1087072

Paolo Luchini

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90059-3

zbMATH Keywords

non-uniform gridsautomatic mesh refinementaddition-deletion procedurefinite-difference calculationshigh-gradient regionsself-adjusting algorithmsolution fieldsteady, incompressible Navier- Stokes equationsvariable-spacing grid system

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Basic methods in fluid mechanics (76M99)

Related Items

Existence of second order discretizations on irregular mesh, A deferred-correction multigrid algorithm based on a new smoother for the Navier-Stokes equations, Modelling high-velocity impact phenomena using unstructured dynamically-adaptive Eulerian meshes, A two-dimensional adaptive mesh generation method

Cites Work

• Unnamed Item
• Natural convection in an enclosed cavity
• Computation of natural convection in two-dimensional cavities with Chebyshev polynomials
• Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review
• Kinematically consistent velocity fields for hydrodynamic calculations in curvilinear coordinates
• Upstream-weighted differencing schemes and their application to elliptic problems involving fluid flow
• Grid adaption for problems in fluid dynamics
• Adaptive Grid Method for Problems in Fluid Mechanics and Heat Transfer