For time integration of transient eddy current problems commonly implicit time integration methods are used, where in every time step one or several nonlinear systems of equations have to be linearized with the Newton-Raphson method due to ferromagnetic materials involved. In this paper, a generalized Schur-complement is applied to the magnetic vector potential formulation, which converts a dif...

The aim of this research is to make a comparative study of numerical explicit time integration algorithms used in the domain of shock and impact. Numerical simulation of such problems, with explicit algorithms for time integration, involves very small time steps for reasons of stability, Thus, very high numerical frequencies can be found in the final solution in displacement or stress. But gene...

The spatial discretization of the magnetic vector potential formulation of magnetoquasistatic field problems results in an infinitely stiff differential-algebraic equation system. It is transformed into a finitely stiff ordinary differential equation system by applying a generalized Schur complement. Applying the explicit Euler time integration scheme to this system results in a small maximum s...

A brief summary of the explicit versions of the GS4 algorithms and designs has been shown via the implicit counterparts. All explicit time integration schemes are second-order time accurate, and various common schemes are also included within the present frameworks. An i Integration Framework (Isochronous Integration Framework) is also described which employs the same framework for integrating ...

Abstract   The present paper is devoted to implementation of the immersed boundary technique into the Fourier pseudo-spectral solution of the vorticity-velocity formulation of the two-dimensional incompressible Navier-Stokes equations. The immersed boundary conditions are implemented via direct modification of the convection and diffusion terms, and therefore, in contrast to some other similar ...