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VERSION:2.0
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PRODID:UW-Madison-Physics-Events
BEGIN:VEVENT
SEQUENCE:0
UID:UW-Physics-Event-1766
DTSTART:20100413T170500Z
DURATION:PT1H0M0S
DTSTAMP:20260419T193958Z
LAST-MODIFIED:20100122T142408Z
LOCATION:4274 Chamberlin Hall
SUMMARY:Shock Waves in Nature and in Numerical Computations\, Chaos &
Complex Systems Seminar\, James Rossmanith\, UW-Madison\, Dept. of Mat
hematics
DESCRIPTION:Shock waves are propagating disturbances that are characte
rized by an abrupt\, nearly discontinuous change in the characteristic
s of a fluid or plasma. They can occur in a variety of phenomena in bo
th laboratory and natural settings. Mathematically\, shock waves are d
ifficult to handle since in general they are not unique solutions of t
he equations that model them. Computationally\, shock waves are diffic
ult to handle for several reasons: (1) most discontinuous cannot be ex
actly represented on a discrete mesh\, (2) standard high-order methods
are unstable for shocks\, and (3) the numerical schemes must be caref
ully constructed to yield the physically correct solution.
\n
\nIn this talk I will begin by briefly reviewing the basic theory of s
hock waves. I will then\, mostly through computational examples\, desc
ribe the various pitfalls in trying to numerically solve equations wit
h shock solutions. Finally\, I will describe some strategies based on
adaptive mesh refinement to obtain highly accurate numerical solutions
.
\n
URL:https://www.physics.wisc.edu/events/?id=1766
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