Heterogeneous Multiscale Modeling of Advection-Diffusion Problems
David James Gardner, Daniel R. Reynolds · SMU Scholar (Southern Methodist University) · 2012
How does N affect the quality of transport coefficients?How large should t f be to obtain accurate statistics?How does the choice of microscale stepper affect convergence?How does the choice of macroscale time stepper affect overall accuracy?How can the number of calls to the microscale simulation be minimized? Future WorkUltimately, the goal of this work is to develop models for multiscale and multiphysics problems such as fusion plasma simulation.Continuum approaches, which are variations of magnetohydrodynamics (MHD), attempt to more accurately resolve the interactions of electrons and ions across drastically different scales.Applying the HMM to such a new context will provide new tools for understanding complex problems as well as extending the breadth of HMM applicability.