Search Results - subject:"Convection diffusion equation"

Incremental unknowns method based on the θ-scheme for time-dependent convection–diffusion equations

Song, Lunji; Wu, Yujiang - In: Mathematics and Computers in Simulation (MATCOM) 79 (2009) 7, pp. 2001-2012

A θ-scheme using two-level incremental unknowns is presented for solving time-dependent convection–diffusion equations in two-dimensional case. The IMG algorithm (Inertial Manifold–Multigrid algorithm) including the second-order incremental unknowns is convergent. The incremental unknowns...

Persistent link: https://www.econbiz.de/10011050571

High-order compact boundary value method for the solution of unsteady convection–diffusion problems

Dehghan, Mehdi; Mohebbi, Akbar - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 3, pp. 683-699

convection–diffusion equation. These techniques are based on the method of lines approach. We apply a compact finite difference …

Persistent link: https://www.econbiz.de/10010749497

Numerical integration in the DGFEM for nonlinear convection-diffusion problems

Sobotíková, Veronika; Feistauer, Miloslav - In: Mathematics and Computers in Simulation (MATCOM) 76 (2007) 1, pp. 193-197

The effect of numerical integration in the DGFEM for nonlinear convection-diffusion problems in 2D is studied. The volume and line integrals in the space semidiscretization are evaluated by numerical quadratures. The main goal is to estimate the error caused by the numerical integration and to...

Persistent link: https://www.econbiz.de/10011050537

Oxygen transport from the outer boundary of a pulsating wall of an arteriole

Limon, Alfonso; Bertuglia, Silvia; Nadim, Ali; Salamon, … - In: Mathematics and Computers in Simulation (MATCOM) 73 (2006) 1, pp. 175-182

In all higher organisms, oxygen transport from arterioles to the surrounding tissue is critical for survival. However, the exact nature of the transport of oxygen from the arteriole to the surrounding tissue remains shrouded in mystery, in part because the experimental data are not in accordance...

Persistent link: https://www.econbiz.de/10010870496

A fourth-order compact difference scheme on face centered cubic grids with multigrid method for solving 2D convection diffusion equation

Sun, Haiwei; Kang, Ning; Zhang, Jun; Carlson, Eric S. - In: Mathematics and Computers in Simulation (MATCOM) 63 (2003) 6, pp. 651-661

solution of the two-dimensional convection diffusion equation. The seven-point formula is defined on a regular hexagon, where …

Persistent link: https://www.econbiz.de/10010748697

A family of fourth-order difference schemes on rotated grid for two-dimensional convection–diffusion equation

Zhang, Jun; Kouatchou, Jules; Ge, Lixin - In: Mathematics and Computers in Simulation (MATCOM) 59 (2002) 5, pp. 413-429

We derive a family of fourth-order finite difference schemes on the rotated grid for the two-dimensional convection–diffusion … equation with variable coefficients. In the case of constant convection coefficients, we present an analytic bound on the …

Persistent link: https://www.econbiz.de/10010749895

A two colorable fourth-order compact difference scheme and parallel iterative solution of the 3D convection diffusion equation

Zhang, Jun; Ge, Lixin; Kouatchou, Jules - In: Mathematics and Computers in Simulation (MATCOM) 54 (2000) 1, pp. 65-80

A new fourth-order compact difference scheme for the three-dimensional (3D) convection diffusion equation with variable …

Persistent link: https://www.econbiz.de/10010749490

Preconditioning by approximations of the Gram matrix for convection–diffusion equations

Juncu, Gh.; Popa, C. - In: Mathematics and Computers in Simulation (MATCOM) 48 (1998) 2, pp. 225-233

convection–diffusion equation. The convection–diffusion equation is discretized on a rectangular grid by standard finite element …

Persistent link: https://www.econbiz.de/10010749330