# Direct Numerical Simulation DNS: Maximum Error as a Function of Mode Number

## Abstract

Numerical errors can be characterized in terms of algebraic polynomial approximation of a sine wave. The magnitude of the error will, therefore, depend on the energy at each mode in a Fourier expansion. Flows with a great deal of energy in the highest modes, such as Turbulence, are therefore the most difficult to approximate.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab., CA (US)

- Sponsoring Org.:
- USDOE Office of Defense Programs (DP) (US)

- OSTI Identifier:
- 793962

- Report Number(s):
- UCRL-ID-139441

TRN: US200302%%686

- DOE Contract Number:
- W-7405-Eng-48

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 1 Jun 2000

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; POLYNOMIALS; SIMULATION; TURBULENCE

### Citation Formats

```
Jameson, L.
```*Direct Numerical Simulation DNS: Maximum Error as a Function of Mode Number*. United States: N. p., 2000.
Web. doi:10.2172/793962.

```
Jameson, L.
```*Direct Numerical Simulation DNS: Maximum Error as a Function of Mode Number*. United States. doi:10.2172/793962.

```
Jameson, L. Thu .
"Direct Numerical Simulation DNS: Maximum Error as a Function of Mode Number". United States. doi:10.2172/793962. https://www.osti.gov/servlets/purl/793962.
```

```
@article{osti_793962,
```

title = {Direct Numerical Simulation DNS: Maximum Error as a Function of Mode Number},

author = {Jameson, L},

abstractNote = {Numerical errors can be characterized in terms of algebraic polynomial approximation of a sine wave. The magnitude of the error will, therefore, depend on the energy at each mode in a Fourier expansion. Flows with a great deal of energy in the highest modes, such as Turbulence, are therefore the most difficult to approximate.},

doi = {10.2172/793962},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2000},

month = {6}

}

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