Imaging · dataset · 2015
Generalized Energy-Stable Open Boundary Conditions for Incompressible Flows
Listed in DataCite
<p>We present a generalized form of open boundary conditions, and an associated numerical algorithm, for simulating incompressible flows involving open or outflow boundaries.
Description
The generalized form represents a family of open boundary conditions, which all ensure the energy stability of the system, even in situations where strong vortices or backflows occur at the open/outflow boundaries. Our numerical algorithm for treating these open boundary conditions is based on a rotational pressure correction-type strategy, with a formulation suitable for $C^0$ spectral-element spatial discretizations.
We have introduced a discrete equation and associated boundary conditions for an auxiliary variable. The algorithm contains constructions that prevent a numerical locking at the open/outflow boundary. In addition, we have also developed a scheme with a provable unconditional stability for a sub-class of the open boundary conditions.
Read the rest (2 more)
Extensive numerical experiments have been presented to demonstrate the performance of our method for several flow problems involving open/outflow boundaries. We compare simulation results with the experimental data to demonstrate the accuracy of our algorithm. Long-time simulations have been performed for a range of Reynolds numbers at which strong vortices or backflows occur at the open/outflow boundaries.
We show that the open boundary conditions and the numerical algorithm developed herein produce stable simulations in such situations.</p> <p> </p>
Links
Where it is published
- Repository landing page purr.purdue.edu/publications/1849/1 ↗
landing page · from DataCite
- DOI doi.org/10.4231/r7rv0km6 ↗
DOI / persistent id · from DataCite
Documentation and papers
- creativecommons.org /licenses/by-nc-nd/3.0/legalcode ↗
Creative Commons Attribution Non Commercial No Derivatives 3.0 Unported
license · from DataCite
- References 10.1016/j.jcp.2015.03.012 doi.org/10.1016/j.jcp.2015.03.012 ↗
publication · from DataCite
Catalogue records · 2
- DataCite API api.datacite.org/dois/10.4231/r7rv0km6 ↗
metadata API · from DataCite
- DataCite Commons commons.datacite.org/doi.org/10.4231/r7rv0km6 ↗
catalogue entry · from DataCite
Topics
- Stated by source
- Mathematics
- From keywords
- Mathematics & Statistics · Physics
- Inferred from text
- Simulation 75%
Provenance · 1 source records, 10 field assertions
| Source | Key | Last seen | Raw |
|---|---|---|---|
| DataCite | 10.4231/r7rv0km6 | 11 d ago | JSON v1 |
| Field | Assertion | Extractor | Evidence |
|---|---|---|---|
| byte_size | source · DataCite | connector:datacite@1.0.0 | |
| concepts[field].fos:mathematics | source · DataCite | connector:datacite@1.0.0 | |
| concepts[field].local:field:mathematics-statistics | mapping · DataCite | vocabulary-mapper@1.0.0 | keywords['Mathematics'] |
| concepts[field].local:field:physics | mapping · DataCite | vocabulary-mapper@1.0.0 | keywords['Physics'] |
| concepts[method].local:method:simulation | enrichment · DataCite | keyword-concept-rules@1.0.0 | title+description (75%) |
| description | source · DataCite | connector:datacite@1.0.0 | /data/attributes/descriptions |
| license_text | source · DataCite | connector:datacite@1.0.0 | |
| publication_date | source · DataCite | connector:datacite@1.0.0 | /data/attributes/dates |
| title | source · DataCite | connector:datacite@1.0.0 | /data/attributes/titles/0/title |
| version_label | source · DataCite | connector:datacite@1.0.0 |