.... 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. Performance comparisons...

.... 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...

... of Grid Orientation Effects (GOE). In order to avoid spurious oscillations in higher-order approximations, a recently devised Multidimensional Limiting Process (MLP) is adopted. This strategy guarantees monotone solutions and can be used with any polygonal mesh. Finally, an entropy fix strategy is also...

... 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...

... being regions where the various component, phase saturation and pressure distributions (and hence phase velocities) are smoothly varying. 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...

... flux limiter approximation spe 66403 reservoir simulation formulation total variation flow in porous media fluid dynamics variation equation of state scheme decomposition godunov formulation fraction modeling & simulation based higher order godunov scheme oscillation...

... done on applying TVD schemes to general purpose Black Oil/EOS Compositional reservoir simulators (eg. VIP). The TVD TTLF scheme is a more fundamental application of flux limiters on the second order Taylor's series expansion of the inter-block flux. This enables commercial first order accurate...

... of higher order schemes in reservoir modelling has thus been extremely limited. In order to remedy this situation, we derive a total variation diminishing (TVD) higher order scheme which can be applied to both fully implicit and IMPES Black-Oil models. We develop IMPES and fully implicit analogues...