Successive overrelaxation (SOR) and related methods

Hadjidimos, A.

doi:10.1016/s0377-0427(00)00403-9

Cited by 152 publications

(88 citation statements)

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In 1971, Young [28] discussed different variations of SOR methods and their convergence properties. In 2000, Hadjidimos [17] presented the SOR method, some of its properties and other related methods. In 2001, Golub et al [16] presented three different SOR-like algorithms for solving the augmented linear system (1.1).…”

Section: Introductionmentioning

confidence: 99%

Accelerated SOR-like method for augmented linear systems

Njeru

Guo

2015

Bit Numer Math

View full text Add to dashboard Cite

By accelerating the SOR-like method by two parameters alpha and omega, we propose an accelerated SOR-like (ASOR) method for solving the augmented linear systems. The convergence of the ASOR method is discussed under suitable restrictions on the iteration parameters alpha and omega, and the experimental optimal values of the iteration parameters are determined. Numerical results are presented to show the efficiency of the ASOR method when the iteration parameters alpha and omega are suitably chosen.

show abstract

Section: Introductionmentioning

confidence: 99%

Accelerated SOR-like method for augmented linear systems

Njeru

Guo

2015

Bit Numer Math

View full text Add to dashboard Cite

show abstract

“…The QUICK scheme of Hayase et al (1992) is implemented to minimize the numerical diffusion for the advective terms. The Poisson equation which is solved using an accelerated full multigrid method (Ben-Cheikh et al, 2007), while the discretized equations are computed using the red and black point successive overrelaxation method (Hadjidimos, 2000) with the choice of optimum relaxation factors. Finally, the convergence of the numerical results is established at each time step according to the following criterion:…”

Section: Numerical Methodologymentioning

confidence: 99%

Magnetoconvection and Irreversibility Phenomena Within a Lid Driven Cavity Filled With Liquid Metal Under Magnetic Field

Oueslati¹,

Ben-Beya²

2017

Frontiers in Heat and Mass Transfer

View full text Add to dashboard Cite

The current study deals with a numerical investigation of magnetoconvection and entropy generation within a lid driven square cavity subject to uniform magnetic field and filled with liquid metal. Effects of multiple parameters namely; the Prandtl, Hartmann and Richardson numbers were predicted and analyzed using a numerical methodology based on the finite volume method and a full multigrid technique. The numerical outcome of the present study shows that, the enhancement of Hartmann number declines the heat transfer rate for all liquid metals considered. Moreover, it is observed that augmenting the Richardson number leads to acceleration of the flow with a centro-symmetry for both velocity components. In terms of irreversibility phenomena, it is found that contrarily to the Hartmann parameter, enhancing the Richardson values leads to strengthening the entropy generation rates within the cavity especially for relatively highest values. The comparison of three situations of moving lids considered shows that the case where both horizontal walls are moving in opposite directions appears to strengthen the heat transfer and entropy generation within the cavity.

show abstract

“…The strong velocity-pressure coupling present in the continuity and the momentum equations is handled by implementing the projection method Brown et al [14]. The Poisson equation which is solved using an accelerated full multigrid method Ben-Cheikh et al [15], while the discretized equations are computed using the red and black point successive over-relaxation method Barrett et al [16] with the choice of optimum relaxation factors. Finally, the convergence of the numerical results is established at each time step according to the following criterion:…”

Section: International Letters Of Chemistry Physics and Astronomy Vomentioning

confidence: 99%

Some Aspects of the Three-Dimensional Double-Diffusive Natural Convection in a Parallelepipedic Tilted Solar Distiller

Oueslati

Ben-Beya

Tong

2015

ILCPA

View full text Add to dashboard Cite

ABSTRACT. Three-dimensional double-diffusive natural convection in a parallelepipedic solar distiller inclined with an angle is investigated in the current study. Computations are performed using a home code "NASIM" based on the finite volume method and a full multigrid technique. It is found that iso-surfaces relative to temperature field undergo a central stratification while the lower and upper gradients seem to be significantly strengthened by gradually increasing the Rayleigh number values. In terms of buoyancy ratio effects, projection of thermal and solutal isocontours at the mid plane (y=1) showed that the flow intensity is significantly enhanced by monotonously increasing N for aiding flow situation (N>0). In addition, and according to all Rayleigh number values, the variation of average Nusselt and Sherwood numbers seem to be minimum for N=-1 with weaker values for opposing flow situation. On another hand, isosurfaces of the transverse v-velocity component showed the importance of the 3-D effects that manifest within the solar distiller.

show abstract

Successive overrelaxation (SOR) and related methods

Cited by 152 publications

References 66 publications

Accelerated SOR-like method for augmented linear systems

Accelerated SOR-like method for augmented linear systems

Magnetoconvection and Irreversibility Phenomena Within a Lid Driven Cavity Filled With Liquid Metal Under Magnetic Field

Some Aspects of the Three-Dimensional Double-Diffusive Natural Convection in a Parallelepipedic Tilted Solar Distiller

Contact Info

Product

Resources

About