Sökning: "curvilinear coordinates"

Hittade 3 uppsatser innehållade orden curvilinear coordinates.

  1. 1. Computation of Acoustic Wave Propagation Under Water

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Frida Thörn; [2022]
    Nyckelord :Wave equation; Helmholtz equation; Waveholtz iteration; finite difference method; summation by parts; energy method; point source; curvilinear coordinates; vågekvationen; helmholtz ekvation; waveholtz iteration; finita differens methoden; energimetoden; punktkälla; kurvlinjära koordinater; kroklinjiga koordinater; SBP;

    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

  3. 2. Numerical solutions to the incompressible Navier-Stokes equations : Finite difference solutions in curvilinear coordinates

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

    Författare :David Niemelä; [2022]
    Nyckelord :;

    Sammanfattning : 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

  4. 3. 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