2 papers
math.NA2026
Edge-based discretizations on triangulations in , with special attention to four-dimensional space
Nicholas Tufillaro, David M. Williams, Hiroaki Nishikawa
Many time-dependent problems in the field of computational fluid dynamics can be solved using space-time methods. However, such methods can encounter issues with computational cost…
math.NA2025
An Efficient Implementation of Edge-Based Discretization without Forming Dual Control Volumes
Hiroaki Nishikawa
This paper shows that lumped directed-area vectors at edges and dual control volumes required to implement the edge-based discretization can be computed without explicitly defining…