AMR Implementation of 3D SIP-CESE MHD Model on Six-Component Overset Grid System

Abstract

Coronal-heliospheric space is characterized by disparate temporal and spatial scales as well as by different relevant physics in different domains such as the corona and the inner heliosphere. The scalable, massively parallel, block-based, adaptive-mesh refinement (AMR) allows resolving such disparate spatial and temporal scales throughout the computational domain with even less cells but can generate a necessary resolution. This chapter is devoted to the adaptive mesh refinement (AMR) implementation of Solar-Interplanetary space-time conservation element and solution element (CESE) magnetohydrodynamic model (SIP-CESE MHD model) with the aid of the parallel AMR package PARAMESH. Two AMR realization strategies are employed: one uses a solution adaptive technique directly for the CESE solver in the six-component grid system introduced in Chap. 5, while the other is implemented for the CESE solver of associated partial differential equations (PDEs) in the reference space of curvilinear coordinates transformed from the original governing partial differential equations in the physical space. Under these two AMR implementations, tests are carried out for the solar wind background study, and numerical results are compared with the observations in the solar corona and in interplanetary space from the Solar and Heliospheric Observatory (SOHO) and spacecraft data from OMNI.