Sökning: "simultaneous-approximation-term"

Visar resultat 1 - 5 av 12 uppsatser innehållade ordet simultaneous-approximation-term.

  1. 1. Numerical Simulation of the Generalized Modified Benjamin-Bona-Mahony Equation Using SBP-SAT in Time

    Kandidat-uppsats, Uppsala universitet/Avdelningen för beräkningsvetenskap

    Författare :Vilma Kjelldahl; [2023]
    Nyckelord :Benjamin-Bona-Mahony equation; non-linear; initial boundary value problem; summation-by-parts; simultaneous-approximation-term; time integration; simulation;

    Sammanfattning : 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

  3. 2. An exploration of classical SBP-SAT operators and their minimal size

    Kandidat-uppsats, Linnéuniversitetet/Institutionen för matematik (MA)

    Författare :Jesper Nilsson; [2021]
    Nyckelord :Finite differences; summation by parts; simultaneous approximation term; SBP-SAT; discretization matrix inverses;

    Sammanfattning : We consider diagonal-norm classical summation-by-parts (SBP) operators us-ing the simultaneous approximation term (SAT) method of imposing boundaryconditions. We derive a formula for the inverse of these SBP-SAT discretizationmatrices. LÄS MER

  4. 3. Numerical Simulation of Soliton Tunneling

    Kandidat-uppsats,

    Författare :Matilda Tiberg; Elias Estensen; Amanda Seger; [2020]
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

  5. 4. Simulation of Viscosity-Stratified Flow

    Kandidat-uppsats,

    Författare :Victor Carlsson; Philip Isaac; Persson Adina; [2020]
    Nyckelord :Burgers equation; flow; SAT; projection method; boundary treatment;

    Sammanfattning : The aim of this project is to study the viscous Burgers' equation for the case where the viscosity is constant, but also when it contains a jump in viscosity. In the first case where the viscosity is constant, Burgers' is simply solved on a singular domain. LÄS MER

  7. 5. A High Order Finite Difference Method for Simulating Earthquake Sequences in a Poroelastic Medium

    Uppsats för yrkesexamina på avancerad nivå, Uppsala universitet/Avdelningen för beräkningsvetenskap

    Författare :Kim Torberntsson; Vidar Stiernström; [2016]
    Nyckelord :numerical analysis; numerical methods; numerical modeling; SBP-SAT; finite differences; high performance computing; geophysics; geomechanics; poroelasticity; fault mechanics; induced seismicity;

    Sammanfattning : Induced seismicity (earthquakes caused by injection or extraction of fluids in Earth's subsurface) is a major, new hazard in the United States, the Netherlands, and other countries, with vast economic consequences if not properly managed. Addressing this problem requires development of predictive simulations of how fluid-saturated solids containing frictional faults respond to fluid injection/extraction. LÄS MER