A provably stable and high-order accurate semi-discrete finite difference scheme modeling the shuttle movement of a seismic airgun is derived using the SBP-SAT method. The one dimensional airgun model studied consists of two pressurized compartments separated by a moving shuttle. The air inside the compartments is modeled by the compressible Euler equations, whereas the shuttle movement is governed by the pressure difference across the shuttle. Well-posedness for the continuous problem and stability for the numerical scheme is proven using the energy method. Numerical studies verify accuracy and convergence.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:uu-388051 |
| Date | January 2019 |
| Creators | Lindeberg, Ludvig |
| Publisher | Uppsala universitet, Avdelningen för beräkningsvetenskap |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | UPTEC F, 1401-5757 ; 19031 |
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