Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

A new error correction method for the stationary Navier-Stokes equations based on two local Gauss integrations

Yun-Bo Yang;  Qiong-Xiang Kong — 2017

Applications of Mathematics

A new error correction method for the stationary Navier-Stokes equations based on two local Gauss integrations is presented. Applying the orthogonal projection technique, we introduce two local Gauss integrations as a stabilizing term in the error correction method, and derive a new error correction method. In both the coarse solution computation step and the error computation step, a locally stabilizing term based on two local Gauss integrations is introduced. The stability and convergence of the...

A higher order pressure segregation scheme for the time-dependent magnetohydrodynamics equations

Yun-Bo Yang;  Yao-Lin Jiang;  Qiong-Xiang Kong — 2019

Applications of Mathematics

A higher order pressure segregation scheme for the time-dependent incompressible magnetohydrodynamics (MHD) equations is presented. This scheme allows us to decouple the MHD system into two sub-problems at each time step. First, a coupled linear elliptic system is solved for the velocity and the magnetic field. And then, a Poisson-Neumann problem is treated for the pressure. The stability is analyzed and the error analysis is accomplished by interpreting this segregated scheme as a higher order...

Page 1

Download Results (CSV)