دورية
ADI-based, conditionally stable schemes for seismic P-wave and elastic wave propagation problems
| العنوان: | ADI-based, conditionally stable schemes for seismic P-wave and elastic wave propagation problems |
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| المؤلفون: | Łoś, Marcin, Behnoudfar, Pouria, Dobija, Mateusz, Paszyński, Maciej |
| مصطلحات موضوعية: | conditional stability, P-wave propagation problems, elastic wave propagation problems, linear computational cost, time-dependent simulations, stabilność warunkowa, problemy z propagacją fali P, problemy z propagacją fali sprężystej, koszt obliczeniowy liniowy, symulacje zależne od czasu |
| الوصف: | The modeling of P-waves has essential applications in seismology. This is because the detection of the P-waves is the first warning sign of the incoming earthquake. Thus, P-wave detection is an important part of an earthquake monitoring system. In this paper, we introduce a linear computational cost simulator for three-dimensional simulations of P-waves. We also generalize our formulations and derivation for elastic wave propagation problems. We use the alternating direction method with isogeometric finite elements to simulate seismic P-wave and elastic propagation problems. We introduce intermediate time steps and separate our differential operator into a summation of the blocks, acting along the particular coordinate axis in the sub-steps. We show that the resulting problem matrix can be represented as a multiplication of three multi-diagonal matrices, each one with B-spline basis functions along the particular axis of the spatial system of coordinates. The resulting system of linear equations can be factorized in linear O (N) computational cost in every time step of the semi-implicit method. We use our method to simulate P-wave and elastic wave propagation problems. We derive the condition for the stability for seismic waves; namely, we show that the method is stable when τ < C min{ hx,hy,hz}, where C is a constant that depends on the PDE problem and also on the degree of splines used for the spatial approximation. We conclude our presentation with numerical results for seismic P-wave and elastic wave propagation problems. Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023). |
| نوع الوثيقة: | Article |
| اللغة: | eng |
| الوصول الحر: | http://yadda.icm.edu.pl/baztech/element/bwmeta1.element.baztech-1e1a2da0-9256-4046-a87e-e01794c0617eTest |
| رقم الانضمام: | edsbzt.bwmeta1.element.baztech.1e1a2da0.9256.4046.a87e.e01794c0617e |
| قاعدة البيانات: | BazTech |
| الوصف غير متاح. |