000 02090aab a2200193 4500
008 240110b1989 |||mr||| |||| 00| 0 eng d
022 _a0017-9310
100 _aLee, Shong-Leih
_9874650
245 _aWeighting Function Scheme and its Application on Multidimensional Conservation Equations
300 _a2065-2073 p.
520 _aThe weighting function scheme proposed previously has shown great success in solving physical problems without a conservative form such as the wave instability problems and the non-similarity boundary layer flow equations. However, in the previous formulation for the weighting function scheme, the grid is restricted to uniform step size and a modification must be made to force the scheme to obey an important numerical rule. In the present investigation, a new formulation is proposed to reformulate the weighting function scheme such that the constraint of uniform grid can be removed. In addition, the new formulation guarantees the weighting function scheme to satisfy the numerical rule without the need of any further assumption. When applied to conservation equations, the weighting function scheme is seen to become Patankar's exponential scheme for uniform thermal conductivity cases. For cases of variable thermal conductivity, however, the weighting function scheme has a performance superior to that of Patankar's exponential scheme. The weighting function scheme thus is expected to be good for use in solving a turbulent flow near a wall where the eddy viscosity possesses a sharp variation due to the existence of a viscous sublayer adjacent to the solid surface.
650 _aWeighting Function Scheme
_9879672
650 _aMultidimensional Conservation Equations
_9879673
650 _aSolving Physical Problems
_9879674
650 _aWave Instability Problems
_9879675
773 0 _dNew York, U.S.A : Pergamon Subsidiary of Elsevier Science & Technology
_tInternational Journal of Heat and Mass Transfer
_x00179310
856 _uhttps://www.sciencedirect.com/science/article/pii/0017931089901130
942 _2ddc
_n0
_cART
_o14993
_pMr. Muhammad Rafique Al Haj Rajab Ali (Late)
999 _c814655
_d814655