Sökning: "murtazo nazarov"

Hittade 4 avhandlingar innehållade orden murtazo nazarov.

  1. 1. An adaptive finite element method for the compressible Euler equations

    Författare :Murtazo Nazarov; Johan Hoffman; Mats Larsson; KTH; []
    Nyckelord :;

    Sammanfattning : This work develops a stabilized finite element method for the compressible Euler equations and proves an a posteriori error estimate for the approximated solution. The equations are approximated by the cG(1)cG(1) finite element method with continuous piecewise linear functions in space and time. LÄS MER

  3. 2. Adaptive Algorithms and High Order Stabilization for Finite Element Computation of Turbulent Compressible Flow

    Författare :Murtazo Nazarov; Johan Hoffman; Timothy J. Barth; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Compressible flow; adaptivity; finite element method; a posteriori error estimates; Implicit LES; Applied mathematics; Tillämpad matematik; Numerical analysis; Numerisk analys;

    Sammanfattning : This work develops finite element methods with high order stabilization, and robust and efficient adaptive algorithms for Large Eddy Simulation of turbulent compressible flows. The equations are approximated by continuous piecewise linear functions in space, and the time discretization is done in implicit/explicit fashion: the second order Crank-Nicholson method and third/fourth order explicit Runge-Kutta methods. LÄS MER

  4. 3. High-order finite element methods for incompressible variable density flow

    Författare :Lukas Lundgren; Murtazo Nazarov; Anders Logg; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Finite element method; artificial viscosity; Navier-Stokes equations; conservation properties; artificial compressibility; viscous regularization; variable density flow; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Sammanfattning : The simulation of fluid flow is a challenging and important problem in science and engineering. This thesis primarily focuses on developing finite element methods for simulating subsonic two-phase flows with varying densities, described by the variable density incompressible Navier-Stokes equations. LÄS MER

  5. 4. Applications of summation-by-parts operators

    Författare :Oskar Ålund; Jan Nordström; Andrew Ross Winters; Murtazo Nazarov; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : Numerical solvers of initial boundary value problems will exhibit instabilities and loss of accuracy unless carefully designed. The key property that leads to convergence is stability, which this thesis primarily deals with. LÄS MER