Simulating isothermal Euler model with non-vacuum initial data via mR scheme
We consider the isothermal Euler model with non-vacuum initial data. We extract the Riemann invariants of the isothermal Euler model, which admits vital applications. We also design the modified Rusanov (mR) scheme to solve the isothermal Euler model. This scheme consists of two steps, the first ste...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2022-12-01
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| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/14613484221105147 |
| _version_ | 1811340097063223296 |
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| author | Mahmoud AE Abdelrahman Hanan A Alkhidhr Kamel Mohamed |
| author_facet | Mahmoud AE Abdelrahman Hanan A Alkhidhr Kamel Mohamed |
| author_sort | Mahmoud AE Abdelrahman |
| collection | DOAJ |
| description | We consider the isothermal Euler model with non-vacuum initial data. We extract the Riemann invariants of the isothermal Euler model, which admits vital applications. We also design the modified Rusanov (mR) scheme to solve the isothermal Euler model. This scheme consists of two steps, the first step of the scheme depends on a local parameter allowing to control diffusion. The second stage recovers conservation equation. This technique is a straightforward to implement and precise. We compare this scheme with the Rusanov scheme via three numerical examples. This numerical study verifies the efficiency of the mR scheme. Finally, the mR scheme can be used to solve many other models in applied science. |
| first_indexed | 2024-04-13T18:36:25Z |
| format | Article |
| id | doaj.art-b203a49d38384f36a3f23712c458dc2b |
| institution | Directory Open Access Journal |
| issn | 1461-3484 2048-4046 |
| language | English |
| last_indexed | 2024-04-13T18:36:25Z |
| publishDate | 2022-12-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj.art-b203a49d38384f36a3f23712c458dc2b2022-12-22T02:34:52ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462022-12-014110.1177/14613484221105147Simulating isothermal Euler model with non-vacuum initial data via mR schemeMahmoud AE AbdelrahmanHanan A AlkhidhrKamel MohamedWe consider the isothermal Euler model with non-vacuum initial data. We extract the Riemann invariants of the isothermal Euler model, which admits vital applications. We also design the modified Rusanov (mR) scheme to solve the isothermal Euler model. This scheme consists of two steps, the first step of the scheme depends on a local parameter allowing to control diffusion. The second stage recovers conservation equation. This technique is a straightforward to implement and precise. We compare this scheme with the Rusanov scheme via three numerical examples. This numerical study verifies the efficiency of the mR scheme. Finally, the mR scheme can be used to solve many other models in applied science.https://doi.org/10.1177/14613484221105147 |
| spellingShingle | Mahmoud AE Abdelrahman Hanan A Alkhidhr Kamel Mohamed Simulating isothermal Euler model with non-vacuum initial data via mR scheme Journal of Low Frequency Noise, Vibration and Active Control |
| title | Simulating isothermal Euler model with non-vacuum initial data via mR scheme |
| title_full | Simulating isothermal Euler model with non-vacuum initial data via mR scheme |
| title_fullStr | Simulating isothermal Euler model with non-vacuum initial data via mR scheme |
| title_full_unstemmed | Simulating isothermal Euler model with non-vacuum initial data via mR scheme |
| title_short | Simulating isothermal Euler model with non-vacuum initial data via mR scheme |
| title_sort | simulating isothermal euler model with non vacuum initial data via mr scheme |
| url | https://doi.org/10.1177/14613484221105147 |
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