scholarly journals Second-order accurate genuine BGK schemes for the ultra-relativistic flow simulations

2017 ◽  
Vol 349 ◽  
pp. 300-327 ◽  
Author(s):  
Yaping Chen ◽  
Yangyu Kuang ◽  
Huazhong Tang
Keyword(s):  
Second Order ◽  
Flow Simulations ◽  
Relativistic Flow

scholarly journals A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems

2019 ◽  
Vol 19 (3) ◽  
pp. 681-701 ◽  
Author(s):  
Max Gunzburger ◽  
Nan Jiang ◽  
Zhu Wang
Keyword(s):  
Stokes Equations ◽  
Second Order ◽  
Navier Stokes ◽  
Conditional Stability ◽  
Initial Condition ◽  
Time Step ◽  
Navier Stokes Equations ◽  
Flow Simulations ◽  
Flow Problems ◽  
Time Stepping

AbstractWe consider settings for which one needs to perform multiple flow simulations based on the Navier–Stokes equations, each having different initial condition data, boundary condition data, forcing functions, and/or coefficients such as the viscosity. For such settings, we propose a second-order time accurate ensemble-based method that to simulate the whole set of solutions, requires, at each time step, the solution of only a single linear system with multiple right-hand-side vectors. Rigorous analyses are given proving the conditional stability and establishing error estimates for the proposed algorithm. Numerical experiments are provided that illustrate the analyses.

A second-order accurate material-order-independent interface reconstruction technique for multi-material flow simulations

2009 ◽  
Vol 228 (3) ◽  
pp. 731-745 ◽  
Author(s):  
Samuel P. Schofield ◽  
Rao V. Garimella ◽  
Marianne M. Francois ◽  
Raphaël Loubère
Keyword(s):  
Material Flow ◽  
Second Order ◽  
Reconstruction Technique ◽  
Flow Simulations ◽  
Interface Reconstruction

scholarly journals Non-linear multi-point flux approximation in the near-well region

Filomat ◽  
2018 ◽  
Vol 32 (20) ◽  
pp. 6857-6867
Author(s):  
Milan Dotlic ◽  
Boris Pokorni ◽  
Milenko Pusic ◽  
Milan Dimkic
Keyword(s):  
Porous Medium ◽  
Maximum Principle ◽  
Anisotropic Medium ◽  
Hydraulic Head ◽  
Second Order ◽  
Flow Simulations ◽  
Flux Approximation ◽  
Non Linear ◽  
Anisotropic Porous Medium ◽  
Hydraulic Head Distribution

We consider non-linear multi-point flux approximations (MPFA) scheme for flow simulations in a model of anisotropic porous medium that includes wells. The hydraulic head varies logarithmically and its gradient changes rapidly in the well vicinity. Due to this strong non-linearity of the near-well flow, use of the MPFA scheme in the near well region results in a completely wrong total well flux and an inaccurate hydraulic head distribution. In this article we propose correction of the MPFA scheme. The outcome is a scheme that is second-order accurate even in the well vicinity for anisotropic medium. Solution obtained with this scheme respects minimum and maximum principle, and also, it is non-oscillating.

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