B-spline Methods in Fluid Dynamics
From MaRDI portal
Publication:4442077
DOI10.1080/1061856031000104879zbMath1115.76382OpenAlexW2145422599MaRDI QIDQ4442077
Olivier Botella, Karim Shariff
Publication date: 19 January 2004
Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/1061856031000104879
B-splinesIncompressible Navier-Stokes EquationsBlock-structured GridsFast SolversGalerkin And Collocation MethodsMass Matrix
Related Items
Boundary-consistent B-spline filtering schemes and application to high-fidelity simulations of turbulence, Spectral and particle dispersion properties of steady two-dimensional multiscale flows, Fourier continuation method for incompressible fluids with boundaries, Oscillation-free advection of interfaces with high order semi-Lagrangian schemes, Near-wall patch representation of wall-bounded turbulence, High-order compact finite-difference methods on general overset grids
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the rotation and skew-symmetric forms for incompressible flow simulations
- On the multi-level splitting of finite element spaces
- Parallelism in spectral methods
- Compact finite difference schemes with spectral-like resolution
- Local spline approximation methods
- Viscous flow solutions with a cubic spline approximation
- Polynomial interpolation methods for viscous flow calculations
- The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
- A practical guide to splines
- Two-dimensional mesh embedding for B-spline methods
- Special issue: Spectral, spectral element and hp methods in CFD
- B-spline method and zonal grids for simulations of complex turbulent flows
- The stability of numerical boundary treatments for compact high-order finite-difference schemes
- Multigrid and multilevel methods for quadratic spline collocation
- The ubiquitous Kronecker product
- Robust multigrid methods for nonsmooth coefficient elliptic linear systems
- Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions
- Spline-characteristic method for simulation of convective turbulence
- Tensorial basis spline collocation method for Poisson's equation
- Hopf bifurcation of the unsteady regularized driven cavity flow
- Computing singular solutions of the Navier-Stokes equations with the Chebyshev-collocation method
- On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory
- On the Asymptotic Convergence of Spline Collocation Methods for Partial Differential Equations
- Numerical studies of flow over a circular cylinder at ReD=3900
- High-Order, Fast-Direct Methods for Separable Elliptic Equations
- Efficient ADI and spline ADI methods for the steady-state Navier-Stokes equations
- Suitability of Upwind-Biased Finite Difference Schemes for Large-Eddy Simulation of Turbulent Flows
- The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
- Package for Calculating with B-Splines
- Efficient Computer Manipulation of Tensor Products
- On the Approximation Power of Splines on Triangulated Quadrangulations
- Parallel algorithms for semi-lagrangian advection
- Algorithm 685: a program for solving separable elliptic equations
- Solution of the Sylvester matrix equation AXB T + CXD T = E
- Direct numerical simulation of a supersonic turbulent boundary layer at Mach 2.5
- DIRECT NUMERICAL SIMULATION: A Tool in Turbulence Research
- Matrix Decomposition Algorithms in Orthogonal Spline Collocation for Separable Elliptic Boundary Value Problems
- Simulating turbulence in complex geometries
- Bivariate spline method for numerical solution of steady state Navier-Stokes equations over polygons in stream function formulation
- Collocation at Gaussian Points
- Basis-spline collocation method for the lattice solution of boundary value problems
- Advanced turbulent flow computations. Papers from the IUTAM School, Udine, Italy, September 7--11, 1998
- Orthogonal spline collocation methods for partial differential equations
