Taylor‐Galerkin‐based spectral element methods for convection‐diffusion problems

International Journal for Numerical Methods in Fluids

Volumn 18, Issue 9, 1994, Pages 853-870

  Timmermans, L J P ^a   Van De Vosse, F N ^a   Minev, P D ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Convection diffusion problems; Operator splitting; Spectral element method; Taylor Galerkin time integration

Indexed keywords

DIFFUSION; HEAT CONVECTION; INTEGRATION; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; SPECTRUM ANALYSIS; VELOCITY; VISCOSITY;

DIRICHLET BOUNDARY CONDITIONS; DIVERGENCE FREE VELOCITY; OPERATOR SPLITTING TECHNIQUE; SPATIAL DISCRETIZATION; TAYLOR GALERKIN BASED SPECTRAL ELEMENT METHODS;

NUMERICAL METHODS;

ANALYSIS-MATHEMATICAL; CONVECTION; DIFFUSION; FLUID MECHANICS;

EID: 0028431362     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1650180905     Document Type: Article

References (28)

1. Generalized Galerkin methods for convection dominated transport phenomena
2. A simple scheme for developing “upwind” finite elements
3. Streamline upwind/Petrov–Galerkin formulations for convection dominated flows with special emphasis on the incompressible Navier–Stokes equations
4. A new finite element method for computational fluid dynamics: VIII. The Galerkin/least squares methods for advective‐diffusive systems
5. A Taylor–Galerkin method for convective transport problems
6. Systems of conservation laws
7. An introduction to finite element methods for transient advection problems
8. A spectral element method for fluid dynamics: laminar flow in a channel expansion
9. Spectral element methods for the incompressible Navier–Stokes equations
10. An operator‐integration‐factor splitting method for time‐dependent problems: application to incompressible fluid flow
11. Chebyshev pseudospectral solution of second order elliptic equations with finite element preconditioning
12. Finite element preconditioned spectral element methods for convection‐diffusion problems
13. A special stability problem for linear multistep methods
14. Time‐accurate solution of advection–diffusion problems by finite elements
15. The computation of three‐dimensional flows using unstructured grids
16. Numerical Computation of Internal and External Flows
17. A fractional‐step Taylor‐Galerkin method for unsteady incompressible flows
18. Some current CFD issues relevant to the incompressible Navier–Stokes equations
19. Spectral methods for advection–diffusion problems