Essays about: "residual based artificial viscosity"

Found 3 essays containing the words residual based artificial viscosity.

  1. 1. A high-order artificial viscosity finite element method for the Vlasov-Poisson system

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Junjie Wen; [2023]
    Keywords : ;

    Abstract : We introduce a finite element method with high-order accuracy for approximating the Vlasov-Poisson system. This method uses continuous Lagrange polynomials as basis functions and employs explicit Runge-Kutta schemes for time discretization. A residual-based artificial viscosity technique is applied for stabilization. READ MORE

  2. 2. Stability analysis of goal-oriented adaptivity for 2D incompressible flow problems

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Tianhao Zhang; [2019]
    Keywords : ;

    Abstract : In this thesis, we present a computational study of the stability of time-dependent dual problem for incompressible flow with low viscosity in 2D. The dual problem measures the sensitivity of an output functional with respect to numerical errors and is a key part of goal-oriented a posteriori error estimation. READ MORE

  3. 3. Finite Element Approximations of 2D Incompressible Navier-Stokes Equations Using Residual Viscosity

    University essay from Uppsala universitet/Institutionen för teknikvetenskaper

    Author : William Sjösten; Victor Vadling; [2018]
    Keywords : Finite element method; incompressible Navier-Stokes equations; residual based artificial viscosity; stabilization; adaptive method; Chorin s method; IPCS; Crank-Nicholson s method; benchmark problems; CPU-time; accuracy;

    Abstract : Chorin’s method, Incremental Pressure Correction Scheme (IPCS) and Crank-Nicolson’s method (CN) are three numerical methods that were investigated in this study. These methods were here used for solving the incompressible Navier-Stokes equations, which describe the motion of an incompressible fluid, in three different benchmark problems. READ MORE