Sökning: "high-order finite difference methods"

Visar resultat 1 - 5 av 8 uppsatser innehållade orden high-order finite difference methods.

  1. 1. 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

  3. 2. A Numerical Solution to the Incompressible Navier-Stokes Equations

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

    Författare :Gustav Eriksson; [2019]
    Nyckelord :navier-stokes; incompressible; cfd; sbp; sat; hofdm;

    Sammanfattning : A finite difference based solution method is derived for the velocity-pressure formulation of the two-dimensional incompressible Navier-Stokes equations. The method is proven stable using the energy method, facilitated by SBP operators, for characteristic and Dirichlet boundary condition implemented using the SAT technique. LÄS MER

  4. 3. Efficient numerical methods for the shallow water equations

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

    Författare :Lukas Lundgren; [2018]
    Nyckelord :shallow water equations; sbp; sat; finite difference;

    Sammanfattning : 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. LÄS MER

  5. 4. High Order finite difference methods for the wave equation with T-junction grid interfaces

    Master-uppsats, Uppsala universitet/Institutionen för informationsteknologi

    Författare :Aron Rindstedt; [2016]
    Nyckelord :;

    Sammanfattning : We investigate higher order SBP-SAT discretizations of the wave equation for T-junction domains. We indicate stability for our discretization for fourth order operators. We construct a differently formulated proof for stability for a previously constructed discretization of the wave equation for interface domains. LÄS MER

  7. 5. High-fidelity 3D acoustic simulations of wind turbines with irregular terrain and different atmospheric profiles

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

    Författare :Erik Hedlund; [2016]
    Nyckelord :wave propagation; irregular terrain; high-order finite difference methods;

    Sammanfattning : We study noise from wind turbines while taking irregular terrain and non-constant atmosphere into consideration. We will show that simulating the distribution of 3D acoustic waves can be done by using only low frequencies, thus reducing the computational complexity significantly. .. LÄS MER