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Evaluation of numerical schemes for capturing shock waves in modeling proppant transport in fractures
Proppant transport Hyperbolic partial differential equations Frac pack Hydraulic fracturing
2018/4/2
In petroleum engineering, the transport phenomenon of proppants in a fracture caused by hydraulic fracturing is captured by hyperbolic partial differential equations (PDEs). The solution of this kind ...
Analysis and Design of Numerical Schemes for Gas Dynamics 2 Artificial Diffusion and Discrete Shock Structure
Numerical Schemes Gas Dynamics Discrete Shock Structure
2015/7/1
The effect of artificial diffusion on discrete shock structures is examined for a family of schemes which includes scalar diffusion, convective upwind and split pressure (CUSP)...
Analysis and Design of Numerical Schemes for Gas Dynamics 1 Artificial Diffusion, Upwind Biasing, Limiters and Their Effect on Accuracy and Multigrid Convergence
Design of Numerical Schemes Gas Dynamics usion Upwind Biasing Limiters Accuracy Multigrid Convergence
2015/7/1
The theory of non-oscillatory scalar schemes is developed in this paper in terms of the local extremum diminishing (LED) principle that maxima should not increase and minima should not decrease. This ...