Essays about: "SBP-SAT"

Showing result 6 - 10 of 17 essays containing the word SBP-SAT.

  1. 6. 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

  3. 7. Modelling the Shuttle Movement of a Seismic Airgun

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Ludvig Lindeberg; [2019]
    Keywords : seismic airgun; euler equations; finite difference; numerical analysis;

    Abstract : A provably stable and high-order accurate semi-discrete finite difference scheme modeling the shuttle movement of a seismic airgun is derived using the SBP-SAT method. The one dimensional airgun model studied consists of two pressurized compartments separated by a moving shuttle. READ MORE

  4. 8. Summation By Parts Finite Difference Methods with Simultaneous Approximation Terms for the Heat Equation with Discontinuous Coefficients

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : Niklas Kåhlman; [2019]
    Keywords : Finite Difference Method; FDM; Summation By Parts; Simultaneous Approximation Terms; SBP-SAT; Heat Equation; Poisson s Equation; Discontinuous Coefficients; Piecewise Constant Coefficients; Convergence; Dual Consistency; Stability;

    Abstract : In this thesis we will investigate how the SBP-SAT finite difference method behave with and without an interface. As model problem, we consider the heat equation with piecewise constant coefficients. The thesis is split in two main parts. READ MORE

  5. 9. A high-resolution finite difference method for weather and climate models

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Magnus Ulimoen; [2018]
    Keywords : ;

    Abstract : Weather and climate modelling has been one of the major actors in scientific computing. The need for higher resolution for the current models has revealed problems, some of which can be solved by using the SBP-SAT method. Ground effects in the atmosphere, caused by e.g. READ MORE

  6. 10. Efficient numerical methods for the shallow water equations

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Lukas Lundgren; [2018]
    Keywords : shallow water equations; sbp; sat; finite difference;

    Abstract : In this thesis a high order finite difference scheme is derived and implemented solving the shallow water equations using the SBP-SAT method. This method was tested against various benchmark problems were convergence was verified. READ MORE