A Conservative Front Tracking Algorithm
The discontinuities in the solutions of systems of conservation laws are widely considered as one of the difficulties in numerical simulation. A numerical method is proposed for solving these partial differential equations with discontinuities in the solution. The method is able to track these sharp...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
2004
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| Online Access: | http://hdl.handle.net/1721.1/7376 |
| _version_ | 1826195236037066752 |
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| author | Nguyen, Vinh Tan Khoo, Boo Cheong Peraire, Jaime |
| author_facet | Nguyen, Vinh Tan Khoo, Boo Cheong Peraire, Jaime |
| author_sort | Nguyen, Vinh Tan |
| collection | MIT |
| description | The discontinuities in the solutions of systems of conservation laws are widely considered as one of the difficulties in numerical simulation. A numerical method is proposed for solving these partial differential equations with discontinuities in the solution. The method is able to track these sharp discontinuities or interfaces while still fully maintain the conservation property. The motion of the front is obtained by solving a Riemann problem based on the state values at its both sides which are reconstructed by using weighted essentially non oscillatory (WENO) scheme. The propagation of the front is coupled with the evaluation of "dynamic" numerical fluxes. Some numerical tests in 1D and preliminary results in 2D are presented. |
| first_indexed | 2024-09-23T10:09:49Z |
| format | Article |
| id | mit-1721.1/7376 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:09:49Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/73762019-04-12T07:20:56Z A Conservative Front Tracking Algorithm Nguyen, Vinh Tan Khoo, Boo Cheong Peraire, Jaime conservative front tracking conservative tracking in 2D partial differential equations numerical methods laws of conservation The discontinuities in the solutions of systems of conservation laws are widely considered as one of the difficulties in numerical simulation. A numerical method is proposed for solving these partial differential equations with discontinuities in the solution. The method is able to track these sharp discontinuities or interfaces while still fully maintain the conservation property. The motion of the front is obtained by solving a Riemann problem based on the state values at its both sides which are reconstructed by using weighted essentially non oscillatory (WENO) scheme. The propagation of the front is coupled with the evaluation of "dynamic" numerical fluxes. Some numerical tests in 1D and preliminary results in 2D are presented. Singapore-MIT Alliance (SMA) 2004-12-10T15:39:01Z 2004-12-10T15:39:01Z 2005-01 Article http://hdl.handle.net/1721.1/7376 en High Performance Computation for Engineered Systems (HPCES); 286960 bytes application/pdf application/pdf |
| spellingShingle | conservative front tracking conservative tracking in 2D partial differential equations numerical methods laws of conservation Nguyen, Vinh Tan Khoo, Boo Cheong Peraire, Jaime A Conservative Front Tracking Algorithm |
| title | A Conservative Front Tracking Algorithm |
| title_full | A Conservative Front Tracking Algorithm |
| title_fullStr | A Conservative Front Tracking Algorithm |
| title_full_unstemmed | A Conservative Front Tracking Algorithm |
| title_short | A Conservative Front Tracking Algorithm |
| title_sort | conservative front tracking algorithm |
| topic | conservative front tracking conservative tracking in 2D partial differential equations numerical methods laws of conservation |
| url | http://hdl.handle.net/1721.1/7376 |
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