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UID:0-543@aerospace.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20230814T133000
DTEND;TZID=Asia/Jerusalem:20230814T143000
DTSTAMP:20230727T070737Z
URL:https://aerospace.technion.ac.il/events/realizable-high-order-methods-
for-non-equilibrium-multi-physics-flows/
SUMMARY:Realizable High-Order Methods for Non-Equilibrium\, Multi-Physics F
lows
DESCRIPTION:Lecturer:Sahar Shpitz \n Faculty:Department of Aerospace Engine
ering\n Institute:Technion – Israel Institute of Technology\n Location:C
lassroom 165\, ground floor\, Library\, Aerospace Eng\n Zoom: https://tech
nion.zoom.us/j/97346140543\n Abstract: \n\n\nMost real-life flows are mult
i-physics\, meaning that they encompass several different physical phenome
na\, in addition to the mechanism of the basic flow. Numerically solving m
ulti-physics problems is not trivial. The major desired properties of any
numerical scheme are accuracy\, efficiency\, and realizability.\n\nIn this
study\, we focus on accuracy and efficiency\, and introduce\, analyze\, a
nd apply a novel semi-discrete numerical approach for solving conservation
equations\, applicable to both reactive and non-reactive fluid flows acro
ss a variety of one-dimensional problems. Commonly\, literature refers to
semi-discrete methods as discretization schemes that discretize spatial de
rivatives while leaving the temporal derivative continuous. These methodol
ogies often include the method of lines or exponential integrator methods.
The resulting system of ordinary differential equations (ODEs) is then so
lved using a time marching method.\n\nOur innovative approach discretizes
the temporal derivative\, leaving the spatial derivatives continuous. Subs
equently\, the ODE is solved analytically in the local region surrounding
each finite difference mesh point\, resulting in a set of algebraic tridia
gonal equations that can be straightforwardly solved numerically. The prim
ary advantage of this method is the attainment of high spatial accuracy wi
th minimal computational cost.\n\nWe will present this new method in compr
ehensive detail\, utilizing various discretization methods for the tempora
l derivative\, and analyzing it in terms of stability and the order of con
vergence. We will then apply it to a variety of problems\, including syste
ms of coupled Burgers' equations and reactive advection-diffusion equation
s.\n\n\n\n Details: \n
CATEGORIES:Seminars
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