# 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

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- 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…

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