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Found 2 essays matching the above criteria.

1. 1. Numerical simulation of acoustic wave propagation with a focus on modeling sediment layers and large domains

   University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

   Author : Elias Estensen; [2022]
   Keywords : Helmholtz; wave equation; acoustics; ocean acoustics; numerical analysis; computational science; finite differences; summation by parts; sbp; waveholtz; cylindrical coordinates; sediment layers; interface; super-grid; super grid; absorbing layer; Helmholtz; vågekvationen; akustik; undervattensakustik; numerisk analys; beräkningsvetenskap; finita differenser; summation by parts; sbp; cylindriska koordinater; waveholtz; sedimentskikt; interface; super-grid; absorberande lager;

   Abstract : In this report, we study how finite differences can be used to simulate acoustic wave propagation originating from a point source in the ocean using the Helmholtz equation. How to model sediment layers and the vast size of the ocean is studied in particular. READ MORE

3. 2. Numerical Simulation of Soliton Tunneling

   University essay from

   Author : Matilda Tiberg; Elias Estensen; Amanda Seger; [2020]
   Keywords : soliton; GPE; gross pitaevskii; Schrödinger; step potential; summation by parts; SBP-SAT; Simultaneous approximation term; SAT; Projection; SBP-Projection; finite differences; boundary treatment; interface treatment;

   Abstract : This project studied two different ways of imposing boundary conditions weakly with the finite difference summation-by-parts (SBP) operators. These operators were combined with the boundary handling methods of simultaneous-approximation-terms (SAT) and the Projection to impose homogeneous Neumann and Dirichlet boundary conditions. READ MORE