# Notes on the ExactPack Implementation of the DSD Explosive Arc Solver

## Abstract

It has been shown above that the discretization scheme implemented in the ExactPack solver for the DSD Explosive Arc equation is consistent with the Explosive Arc PDE. In addition, a stability analysis has provided a CFL condition for a stable time step. Together, consistency and stability imply convergence of the scheme, which is expected to be close to first-order in time and second-order in space. It is understood that the nonlinearity of the underlying PDE will affect this rate somewhat.

- Authors:

- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Publication Date:

- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP) (NA-10)

- OSTI Identifier:
- 1340910

- Report Number(s):
- LA-UR-17-20224

- DOE Contract Number:
- AC52-06NA25396

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING; ExactPack; verification

### Citation Formats

```
Kaul, Ann, and Doebling, Scott William.
```*Notes on the ExactPack Implementation of the DSD Explosive Arc Solver*. United States: N. p., 2017.
Web. doi:10.2172/1340910.

```
Kaul, Ann, & Doebling, Scott William.
```*Notes on the ExactPack Implementation of the DSD Explosive Arc Solver*. United States. doi:10.2172/1340910.

```
Kaul, Ann, and Doebling, Scott William. Thu .
"Notes on the ExactPack Implementation of the DSD Explosive Arc Solver". United States.
doi:10.2172/1340910. https://www.osti.gov/servlets/purl/1340910.
```

```
@article{osti_1340910,
```

title = {Notes on the ExactPack Implementation of the DSD Explosive Arc Solver},

author = {Kaul, Ann and Doebling, Scott William},

abstractNote = {It has been shown above that the discretization scheme implemented in the ExactPack solver for the DSD Explosive Arc equation is consistent with the Explosive Arc PDE. In addition, a stability analysis has provided a CFL condition for a stable time step. Together, consistency and stability imply convergence of the scheme, which is expected to be close to first-order in time and second-order in space. It is understood that the nonlinearity of the underlying PDE will affect this rate somewhat.},

doi = {10.2172/1340910},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Thu Jan 12 00:00:00 EST 2017},

month = {Thu Jan 12 00:00:00 EST 2017}

}

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