The MPFA and MFD methods- Differences Similarities and Relative Strengths

April 27, 2010

Time: April 27, 2010
Lecturer: Annette Stephansen
Unifob Petroleum,Centre for Integrated Petroleum Research
Venue: Pfaffenwaldring 61, Raum U1.003 (MML), Universität Stuttgart
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The multi-point flux approximation (MPFA) methods and the mimeticfinite difference (MFD) methods are mass-conservative methods that canbe used to solve the elliptic pressure equation associated with Darcyflow. Both methods are of the discrete type: they give a velocity fieldthat is only specified at element interfaces and not inside theelements themselves. Both methods reproduce exactly constant velocityfields. However, they differ in one important aspect: while the MFDmethod obtains the pressure differences in terms of fluxes, the MPFAmethods calculate the fluxes in terms of the pressure differences. Wewill examine how the MPFA O-method and L-method can be rewritten in theMFD framework which will give us the means to examine the strengths ofthe different methods. The work on the MPFA O-method has been done incollaboration with Runhild Klausen from CMA at the University of Oslo.
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