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SUMMARY:NRxx Method for Boltzmann-BGK Equation - Lie\, R (Peking)
DTSTART:20101214T100000Z
DTEND:20101214T110000Z
UID:TALK28422@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We introduce a numerical method for solving Grad's moment equa
 tions or regularized moment equations for arbitrary order of moments. In o
 ur algorithm\, we do not explicitly need the moment equations. Instead\, w
 e directly start from the Boltzmann equation and perform Grad's moment met
 hod. We define a conservative projection operator and propose a fast imple
 mentation which makes it convenient to add up two distributions and provid
 es more efficient flux calculations compared with the classic method using
  explicit expressions of flux functions. For the collision term\, the BGK 
 model is adopted so that the production step can be done trivially based o
 n the Hermite expansion. To regularize the system\, we apply the Maxwell i
 teration to the infinite moment system and determine the magnitude of each
  moment with respect to the Knudsen number. After that\, we obtain the app
 roximation of high order moments and close the moment systems by dropping 
 some high-order terms. Linearization is then performed to obtain a very si
 mple regularization term\, thus it is very convenient for numerical implem
 entation.
LOCATION:Seminar Room 1\, Newton Institute
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