... eliminated, including total flow rate on network connections and component flow rates on perforation connections. This elimination is also performed in parallel. The parallelization of the nonlinear solution of the surface network in the preconditioning stage is more challenging. Similar to the reservoir...

... factorization factorization reservoir simulation grid point iterative method gridpoint equation matrix structure diagonal spe 18410 upstream oil & gas method united states government matrix elimination arithmetic operation grid reservoir simulation equation Introduction Proper...

... ABSTRACT The simulation industry is rapidly moving towards the frequent use of complex reservoir models including such features as faults, implicit well terms, and thermal or compositional effects. All of these things can pose great difficulties for the standard direct elimination methods...

... number steihaug time equation selection smit nonlinear requirement elimination day smit test 1 INTRODUCTION In thermal simulation the flow of hydrocarbons and water/steam or oxygen in a reservoir is modeled by the fluid-flow and energy balance differential equations 3 . Particular...

... ]   [ x 1 x 2 ]   = [ b 1 b 2 ] Note that if Gaussian elimination is used ( LDU exact) then this method is exact. This is essentially the second factorization of George 21 . This method does not require that the incidence matrix...

... calculation cpu time simulation model reservoir simulation average vector length efficiency simulation interface vectorization reservoir simulation model assembly language vector processor processor ibm 3033 diagonal equation united states government plane elimination programming language...

... Abstract The Floating Point Systems array processor AP120B can be used to efficiently solve large systems of linear equations by a sparse Gaussian elimination technique. Bench mark tests show the following results: For LU factorization, the AP120B requires 22 to 35% less CPU time than the IBM...