... the saturation and pressure. A limiting procedure based on a Barth-Jespersen type limiter is used to prevent non-physical oscillations on unstructured grids. The fine scale saturation/concentration field is then updated via the reconstructed finite volume approximation over the sub-cell control-volumes...

.... The strategy involves coupling of the SV method and reconstructed CVD-MPFA fluxes at the faces of the spectral volume, to obtain an efficient finer scale higher resolution finite-volume method which solves for both the saturation and pressure. A limiting procedure based on the Barth-Jespersen limiter is used...

... of the discretised equations can be introduced from a higher-order spatial discretisation. It has been shown that strong nonlinearity as well as lack of continuous differentiability in numerical flux function and flux limiter can cause serious nonlinear convergence problem. Cell-centered finite-volume (CCFV...

... existent in the fluid flow equations. As extensively discussed in literature, linear TPFA schemes are robust when using cartesian grids and diagonal and heterogeneous permeability tensor, it suffers from serious numerical limitations when arbitrary mesh and full permeability tensors are considered...

... and the formulation is consistent in IMPES mode (or sequentially implicit mode), with respect to sign change in wave velocity and mass balance. Comparisons between velocity upwinding and the non-upwind schemes are presented for gravity segregated flow problems where waves undergo sign changes. limiter non...

... : F.M. Orr , Jr. , Contract No. DE-FC26-00BC15319 , Oct.-Dec. , 2001 . Jiang , G.-S. and C.-W. Shu . Efficient Implementation of Weighted ENO Schemes , J. Comput. Phys. , 126 : 202 – 228 , 1996 . Rubin , B. and M.J. Blunt . Higher Order Implicit Flux Limiting...

.... A Total Variation Diminishing (TVD) flux limiter is required to maintain numerical stability. Such limiters are applied to the inter-cell flows in each component's mass balance equation to control throughput and to ensure overall stability of the resulting numerical scheme. The application of flux...

... oscillatory behavior higher order scheme tvd scheme composition diffusion upstream oil & gas equation higher order godunov scheme accuracy thiele flux limiter approximation spe 66403 reservoir simulation formulation total variation flow in porous media fluid dynamics...

... disadvantage being a reduced limit in the IMPES time-step which varies from one-half to two-thirds to that of the HOG scheme. The new TVD Two Time Level Flux approximation (like the TVD mid-point scheme[l]) has be applied to systems of equations and therefore is able to improve accuracy in compositional...

... This work introduces a second order scheme which is simple to apply to both IMPES Black Oil models and Fully Implicit Black Oil models. The total variation diminishing (TVD) mid-point scheme is derived from TVD Flux Limiting schemes [6 , 7] by reducing the latter scheme's temporal accuracy...