2010
DOI: 10.1007/978-3-642-14403-5_37
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AMG for Linear Systems in Engine Flow Simulations

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Cited by 10 publications
(13 citation statements)
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“…Stand wall function was used to describe heat transfer of wall. Piso 168 algorithm [10,29,30] was adopted here to solve the highly unsteady state flow of combustion 169…”
Section: Simulation Model 165mentioning
confidence: 99%
“…Stand wall function was used to describe heat transfer of wall. Piso 168 algorithm [10,29,30] was adopted here to solve the highly unsteady state flow of combustion 169…”
Section: Simulation Model 165mentioning
confidence: 99%
“…The components of the vector (that correspond to cells) are defined as j D 1=% j ; again carries the index of the phase. Whereas system (10) is symmetric, the density scaling in system (11) destroys the symmetry. Problem N2 represents a two-phase flow addressed by this technique.…”
Section: N2-multiphase Flowmentioning
confidence: 99%
“…Roughly speaking, multigrid becomes more effective in these methods because the defect equation is solved by a Krylov-accelerated AMG, that is, by a Krylov method with AMG preconditioning (with a variable number of iterations), instead of being approximated by a recursive application of the multigrid method alone. This adaptive, recursive scheme is referred as the k-cycle AMG.For simulations of weakly compressible flows (with symmetric positive definite matrix of the pressure-correction equation), the performance of this new method is not significantly better than that of the conventional algorithms, see Emans [11,12]. In the present paper, we will examine k-cycle methods for other important classes of flow problems.The treatment of incompressible flows with SIMPLE leads to systems with semi-definite matrices.…”
mentioning
confidence: 99%
“…Priesching et al [23]. Further information about the setup can be found in Emans [12]. The computations were done with eight parallel processes located on one node of the cluster.…”
Section: Gasoline Engine -Example Imentioning
confidence: 99%
“…The computing times of the whole calculation and that of the solver part only, the iteration count, and the parallel efficiency (defined as e.g. in Emans [12] or Starikovičius et al [26]) of the solver part are shown in Figure 4. The short amv1gm stands for the solver we use for the other calculations in this article; the solver amf1gm is a similar AMG algorithm which uses the same coarsegrid construction method as amv1gm, but employs a f-cycle, see Trottenberg et al [27] for the definition, instead of a v-cycle; algorithm ichpgm is a much simpler solver: It has an ILU(0) preconditioner, see Saad [24], instead of a multigrid method while the solver is still GMRES; this preconditioner is used e.g.…”
Section: Gasoline Engine -Example Imentioning
confidence: 99%