Bivariate splines for fluid flows

DOI10.1016/j.compfluid.2003.10.003zbMath1086.76058OpenAlexW1995448628MaRDI QIDQ704381

Ming-Jun Lai, Paul R. Wenston

Publication date: 13 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.compfluid.2003.10.003

zbMATH Keywords

Lagrange multipliersNavier-Stokes equationsMATLAB

Mathematics Subject Classification ID

Related Items (17)

Two-level spline approximations for two-dimensional Navier-Stokes equations ⋮ Continuity and convergence in rational triangular Bézier spline based isogeometric analysis ⋮ A bivariate spline method for second order elliptic equations in non-divergence form ⋮ Robustness of a spline element method with constraints ⋮ On a two-order temporal scheme for Navier-Stokes/Navier-Stokes equations ⋮ Localised estimation and control of linear instabilities in two-dimensional wall-bounded shear flows ⋮ Trivariate spline collocation methods for numerical solution to 3D Monge-Ampère equation ⋮ Simple finite element numerical simulation of incompressible flow over non-rectangular domains and the super-convergence analysis ⋮ Bivariate spline solution of time dependent nonlinear PDE for a population density over irregular domains ⋮ Quadrature-free spline method for two-dimensional Navier-Stokes equation ⋮ Trivariate spline approximations of 3D Navier-Stokes equations ⋮ A \(p\)-version two level spline method for 2D Navier-Stokes equations ⋮ Model reduction of parabolic PDEs using multivariate splines ⋮ On convergence rate of the augmented Lagrangian algorithm for nonsymmetric saddle point problems ⋮ Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation ⋮ Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions ⋮ A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations

Uses Software

• Matlab

Cites Work

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• Finite difference schemes for incompressible flows in the velocity-impulse density formulation
• On the interior regularity of weak solutions of the Navier-Stokes equations
• Multivariate vertex splines and finite elements
• On the approximation power of bivariate splines
• On a collocation B-spline method for the solution of the Navier-Stokes equations
• Vorticity boundary condition and related isssues for finite difference schemes
• Finite Element Methods for Navier-Stokes Equations
• On a Galerkin–Lagrange Multiplier Method for the Stationary Navier–Stokes Equations
• Trivariate spline approximations of 3D Navier-Stokes equations
• Bivariate spline method for numerical solution of steady state Navier-Stokes equations over polygons in stream function formulation

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