Time accuracy and the use of implicit methods. [in CFD
@inproceedings{Pulliam1993TimeAA, title={Time accuracy and the use of implicit methods. [in CFD}, author={Thomas H. Pulliam}, year={1993} }
Some of the approximations used to make implicit methods more efficient and practical for the solution of the Euler and Navier-Stokes equations are addressed. In particular, approximate factorizations, diagonalizations, and linearization approximations are reviewed and categorized. A subiteration correction scheme commonly in use at present is introduced, improved, demonstrated, and analyzed. This scheme is used to produce a second-order accurate, more robust implicit method for unsteady flow…
129 Citations
Unstructured mesh methods for the solution of the unsteady compressible flow equations with moving boundary components
- EngineeringPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2007
A review of a procedure for the simulation of time-dependent, inviscid and turbulent viscous, compressible flows involving geometries that change in time involving unstructured meshes and both explicit and implicit time-stepping schemes is presented.
Parallel Implicit Time-Accurate Navier-Stokes Computations Using Coarse Grid Correction
- Computer Science
- 1998
It is concluded that the solver is not sensitive to grid stretching and scales well with both problem size and number of processors, and it is shown that measured CPU times compare well with the multigrid approach.
Unsteady flow calculations with a multigrid Navier-Stokes method
- Computer Science
- 1995
A multigrid Navier-Stokes method with a two-equation k-u> turbulence model is developed for calculating unsteady flows and solutions for the forced oscillation of an airfoil are obtained with the Euler and the Navier -Stokes equations.
An efficient correction storage scheme for unsteady flows
- Computer Science
- 2001
The computational test shows that the computing costs may be saved in favor of the correction storage scheme with the frozen Jacobian matrix, to a great extent.
An implicit-explicit flow solver for complex unsteady flows
- Computer Science
- 2004
The approach in this thesis is to construct hybrid type schemes by combining implicit and explicit schemes in a manner that guarantees second order accuracy in time, and to investigate the effectiveness of the proposed scheme, several pitching airfoil test cases were examined.
An algorithm for unsteady viscous flows at all speeds
- Engineering
- 1999
An algorithm for the simulation of unsteady, viscous, stratified compressible flows, which remains valid at all speeds, is presented. The method is second-order accurate in both space and time and is…
References
SHOWING 1-10 OF 14 REFERENCES
Implicit finite difference simulation of flow about arbitrary geometries with application to airfoils
- Engineering
- 1977
Finite difference procedures are used to solve either the Euler equations or the 'thin layer' Navier-Stokes equations subject to arbitrary boundary conditions. An automatic grid generation program is…
On implicit finite-difference simulations of three-dimensional flow
- Physics
- 1978
An implicit finite-difference procedure for unsteady three-dimensional flow capable of handling arbitrary geometry through the use of general coordinate transformations is described. Viscous effects…
Artificial Dissipation Models for the Euler Equations
- Mathematics
- 1985
Various artificial dissipation models that are used with central difference algorithms for the Euler equations are analyzed for their effect on accuracy, stability, and convergence rates. In…
An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. [application to Eulerian gasdynamic equations
- Mathematics
- 1976
Navier-Stokes Simulations of Blade-Vortex Interaction Using High-Order-Accurate Upwind Schemes
- Physics
- 1987
Conventional second-order-accurate finite-difference schemes are much too dissipative for computations involving vortices that travel large distances (relative to some measure of the size of the…
Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
- Mathematics
- 1981
Coefficients for the study of Runge-Kutta integration processes
- MathematicsJournal of the Australian Mathematical Society
- 1963
We consider a set of η first order simultaneous differential equations in the dependent variables y1, y2, …, yn and the independent variable x ⋮ No loss of gernerality results from taking the…
Efficient solution methods for the Navier-Stokes equations
- Physics
- 1986
Implicit finite difference schemes for solving two-dimensional and three-dimensional Euler and thin layer Navier-Stokes equations are addressed. The methods are demonstrated in fully vectorized codes…