Modelling the Shuttle Movement of a Seismic Airgun
Abstract: 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.
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