The candy wrapper problem -- a temporal multiscale approach for pde/pde systems

Autor:	Richter, Thomas, Mizerski, Jeremi
Rok vydání:	2020
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	We describe a temporal multiscale approach for the simulation of long-term processes with short-term influences involving partial differential equations. The specific problem under consideration is a growth process in blood vessels. The \emph{Candy Wrapper Process} describes a restenosis in a vessel that has previously be widened by inserting a stent. The development of a new stenosis takes place on a long time horizon (months) while the acting forces are mainly given by the pulsating blood flow. We describe a coupled pde model and a finite element simulation that is used as basis for our multiscale approach, which is based on averaging the long scale equation and approximating the fast scale impact by localized periodic-in-time problems. Numerical test cases in prototypical 3d configurations demonstrate the power of the approach.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.09705 Zobrazit plný text záznamu View this record from Arxiv