An extension of the framework of the Finite Integration Technique (FIT) including dynamic and adaptive mesh refinement is presented. After recalling the standard formulation of the FIT, the proposed mesh adaptation procedure is described. Besides the linear interpolation approach, a novel interpolation technique based on specialized spline functions for approximating the discrete electromagnetic field solution during mesh adaptation is introduced. The standard FIT on a fixed mesh and the new adaptive approach are applied to a simulation test case with known analytical solution. The numerical accuracy of the two methods are shown to be comparable. The dynamic mesh approach is, however, much more efficient. This is also demonstrated for the full scale modeling of the complete RF gun at the Photo Injector Test Facility DESY Zeuthen (PITZ) on a single computer. Results of a detailed design study addressing the effects of individual components of the gun onto the beam emittance using a fully self-consistent approach are presented.
foap4: Adaptive mesh refinement with OpenACC/OpenMP, MPI, and p4est
Centrum Wiskunde & Informatica (CWI)(荷兰数学与计算机科学中心);Centre for mathematical Plasma Astrophysics, Department of Mathematics, KU Leuven(荷语鲁汶大学数学系数学等离子体天体物理中心);Departamento de Matemática da Universidade de Aveiro and Centre for Research and Development in Mathematics and Applications (CIDMA)(阿威罗大学数学系及数学与应用研发中心);Netherlands eScience Center(荷兰电子科学中心);School of Astronomy and Space Science and Key Laboratory of Modern Astronomy and Astrophysics, Nanjing University(南京大学天文与空间科学学院现代天体物理学重点实验室)
Field conserving adaptive mesh refinement (AMR) scheme on massively parallel adaptive octree meshes
Iowa State University(爱荷华州立大学);Stanford University(斯坦福大学);University of Utah(犹他大学);Tufts University(塔夫茨大学);RIKEN Center for Computational Science(理化学研究所计算科学中心)
A Stable, Accurate Methodology for High Mach Number, Strong Magnetic Field MHD Turbulence with Adaptive Mesh Refinement: Resolution and Refinement Studies