Least-squares spectral element solution of incompressible Navier-Stokes equations with adaptive refinement

DOI10.1016/j.jcp.2012.01.024zbMath1402.76090OpenAlexW2091593163MaRDI QIDQ417918

Altug Ozcelikkale, Cuneyt Sert

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.01.024

zbMATH Keywords

spectral element methodleast-squaresincompressible flowadaptive refinementconstrained approximation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (5)

A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations ⋮ A conservation-prioritized approach simultaneously enhancing mass and momentum conservation of least-squares method for Stokes/Navier-Stokes problems ⋮ Least squares finite element method with high continuity NURBS basis for incompressible Navier-Stokes equations ⋮ The estimation of truncation error by \(\tau\)-estimation for Chebyshev spectral collocation method ⋮ Efficient stress-velocity least-squares finite element formulations for the incompressible Navier-Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• A collocation penalty least-squares finite element formulation for incompressible flows
• An adaptive least-squares spectral collocation method with triangular elements for the incompressible Navier-Stokes equations
• Dynamic refinement algorithms for spectral element methods
• Least-squares finite element formulations for viscous incompressible and compressible fluid flows
• Conservation of mass and momentum of the least-squares spectral collocation scheme for the Stokes problem
• \(hp\)-adaptive least squares spectral element method for hyperbolic partial differential equations
• Spectral/\(hp\) penalty least-squares finite element formulation for the steady incompressible Navier-Stokes equations
• A least-squares finite element method for the Navier--Stokes equations
• Mass- and momentum conservation of the least-squares spectral element method for the Stokes problem
• A least-squares finite element formulation for unsteady incompressible flows with improved velocity-pressure coupling
• Spectral element formulations on non-conforming grids: a comparative study of pointwise matching and integral projection methods
• Adaptive refinement for least-squares finite elements with element-by-element conjugate gradient solution
• Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• On Mass‐Conserving Least‐Squares Methods
• Element-by-element linear and nonlinear solution schemes
• Finite Element Methods of Least-Squares Type
• Issues Related to Least-Squares Finite Element Methods for the Stokes Equations
• Least-Squares Finite Element Method for the Stokes Problem with Zero Residual of Mass Conservation
• A VARIABLE-ORDER SPECTRAL ELEMENT METHOD FOR INCOMPRESSIBLE VISCOUS FLOW SIMULATION
• Solving Nonlinear Equations with Newton's Method
• On First-order Formulations of the Least-squares Finite Element Method for Incompressible Flows
• Spectral/hp Element Methods for Computational Fluid Dynamics

This page was built for publication: Least-squares spectral element solution of incompressible Navier-Stokes equations with adaptive refinement