# An Operator-Integration-Factor Splitting (OIFS) method for Incompressible Flows in Moving Domains

## Abstract

In this paper, we present a characteristic-based numerical procedure for simulating incompressible flows in domains with moving boundaries. Our approach utilizes an operator-integration-factor splitting technique to help produce an effcient and stable numerical scheme. Using the spectral element method and an arbitrary Lagrangian-Eulerian formulation, we investigate flows where the convective acceleration effects are non-negligible. Several examples, ranging from laminar to turbulent flows, are considered. Comparisons with a standard, semi-implicit time-stepping procedure illustrate the improved performance of the scheme.

- Authors:

- Argonne National Lab. (ANL), Argonne, IL (United States)
- Argonne National Lab. (ANL), Argonne, IL (United States); Univ. of Illinois, Urbana-Champaign, IL (United States)
- Argonne National Lab. (ANL), Argonne, IL (United States); Aristotle Univ., Thessaloniki (Greece)

- Publication Date:

- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)

- OSTI Identifier:
- 1414290

- Report Number(s):
- ANL/ALCF-17/8

140626

- DOE Contract Number:
- AC02-06CH11357

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING

### Citation Formats

```
Patel, Saumil S., Fischer, Paul F., Min, Misun, and Tomboulides, Ananias G.
```*An Operator-Integration-Factor Splitting (OIFS) method for Incompressible Flows in Moving Domains*. United States: N. p., 2017.
Web. doi:10.2172/1414290.

```
Patel, Saumil S., Fischer, Paul F., Min, Misun, & Tomboulides, Ananias G.
```*An Operator-Integration-Factor Splitting (OIFS) method for Incompressible Flows in Moving Domains*. United States. doi:10.2172/1414290.

```
Patel, Saumil S., Fischer, Paul F., Min, Misun, and Tomboulides, Ananias G. Sat .
"An Operator-Integration-Factor Splitting (OIFS) method for Incompressible Flows in Moving Domains". United States.
doi:10.2172/1414290. https://www.osti.gov/servlets/purl/1414290.
```

```
@article{osti_1414290,
```

title = {An Operator-Integration-Factor Splitting (OIFS) method for Incompressible Flows in Moving Domains},

author = {Patel, Saumil S. and Fischer, Paul F. and Min, Misun and Tomboulides, Ananias G},

abstractNote = {In this paper, we present a characteristic-based numerical procedure for simulating incompressible flows in domains with moving boundaries. Our approach utilizes an operator-integration-factor splitting technique to help produce an effcient and stable numerical scheme. Using the spectral element method and an arbitrary Lagrangian-Eulerian formulation, we investigate flows where the convective acceleration effects are non-negligible. Several examples, ranging from laminar to turbulent flows, are considered. Comparisons with a standard, semi-implicit time-stepping procedure illustrate the improved performance of the scheme.},

doi = {10.2172/1414290},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Sat Oct 21 00:00:00 EDT 2017},

month = {Sat Oct 21 00:00:00 EDT 2017}

}

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