Essays about: "SBP"
Showing result 1 - 5 of 29 essays containing the word SBP.
-
1. Numerical simulation of the non-linear Schrödinger equation A comparative study based on the summation-by-parts method in space and time
University essay from Uppsala universitet/Institutionen för informationsteknologiAbstract : In this work, we present the numerical implementation of various time marching methods based on the summation-by-parts (SBP) method for the time integration of nonlinear dispersive systems. More specifically, we consider the nonlinear Schrödinger (NLS) equation that accepts soliton or soliton-like solution as a primary case study. READ MORE
-
2. Simulation of low frequency acoustic waves in small rooms : An SBP-SAT approach to solving the time dependent acoustic wave equation in three dimensions
University essay fromAbstract : Low frequency acoustic room behaviour can be approximated using numerical methods. Traditionally, music studio control rooms are built with complex geometries, making their eigenmodes difficult to predict mathematically. READ MORE
-
3. Numerical Simulation of the Generalized Modified Benjamin-Bona-Mahony Equation Using SBP-SAT in Time
University essay from Uppsala universitet/Avdelningen för beräkningsvetenskapAbstract : This paper describes simulations of the generalized modified Benjamin-Bona-Mahony (BBM) equation, using finite difference methods (FDM). Well-posed boundary conditions (BCs) as well as stable semi-discrete approximations are derived using summations-by-parts (SBP) operators combined with the projection method. READ MORE
-
4. Computation of Acoustic Wave Propagation Under Water
University essay from KTH/Matematik (Avd.)Abstract : In this thesis we look at acoustic wave propagation under water. We look in particular at waves generated by a point source and what happens with the propagation when we model the bottom as flat or as curvilinear. We assume the source to be working at a certain frequency and therefore we model this problem by solving the Helmholtz equation. READ MORE
-
5. Numerical simulation of acoustic wave propagation with a focus on modeling sediment layers and large domains
University essay from Uppsala universitet/Avdelningen för beräkningsvetenskapAbstract : 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