Sökning: "Summation By Parts"
Visar resultat 1 - 5 av 27 uppsatser innehållade orden Summation By Parts.
1. Numerical simulation of the non-linear Schrödinger equation A comparative study based on the summation-by-parts method in space and time
Master-uppsats, Uppsala universitet/Institutionen för informationsteknologiSammanfattning : 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. LÄS MER
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
Kandidat-uppsats,Sammanfattning : 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. LÄS MER
3. Numerical Simulation of the Generalized Modified Benjamin-Bona-Mahony Equation Using SBP-SAT in Time
Kandidat-uppsats, Uppsala universitet/Avdelningen för beräkningsvetenskapSammanfattning : 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. LÄS MER
4. Computation of Acoustic Wave Propagation Under Water
Master-uppsats, KTH/Matematik (Avd.)Sammanfattning : 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. LÄS MER
5. Numerical solutions to the incompressible Navier-Stokes equations : Finite difference solutions in curvilinear coordinates
Uppsats för yrkesexamina på avancerad nivå, Uppsala universitet/Avdelningen för beräkningsvetenskapSammanfattning : A finite difference scheme for the incompressible Navier-Stokes equations in 2-dimensionalcurvilinear coordinates is derived. The scheme uses high-order Summation-By-Parts operatorsand boundaries are handled by the Projection method. LÄS MER