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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
LOCATION:Classroom 165\, ground floor\, Library\, Aerospace Eng

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DTSTART:20230324T030000

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