First-order upwind scheme The simplest upwind scheme possible is the first-order upwind scheme. It is given by[2]Defining and the two conditional equations (1) and (2) can be combined and written in a compact f
Central-upwind schemeCE/SE schemeKFVS schemeNon-conservative systemsIn this article, a central-upwind scheme (CUP) is extended to solve two-phase shallow granular flow (TPSF) model. The flow in this case is considered as incompressible and it is regarded to be a shallow layer of granular ...
The steps to follow for constructing a multidimensional upwind scheme of this type for a non-linear system are the following: • Construct a suitable scheme for the solution of the scalar advection equa- tion. This involves the development of “fluctuation/residual distribution” techniques in...
内容提示: arXiv:1911.09277v1 [math.NA] 21 Nov 2019A Well-Balanced Central-Upwind Scheme for the ThermalRotating Shallow Water EquationsAlexander Kurganov ∗ , Yongle Liu † and Vladimir Zeitlin‡AbstractWe develop a well-balanced central-upwind scheme for rotating shallow water modelwith ...
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V. Raghurama Rao, A grid-free upwind relaxation scheme for inviscid compressible flows. Internat. J. Numer. Methods Fluids 51 (2006), no. 2, 159-196.S. Balasubramanyam and S. V. Raghurama Rao. A grid-free upwind relaxation scheme for inviscid compressible flows. International Journal for...
The unsteady Euler equations are solved with an explicit conservative finite volume scheme of second order of accuracy. This scheme is obtained from a first order Godunov type scheme by adding appropriate corrective terms. The conservative variables are
Abstract A high-resolution semi-discrete central-upwind scheme for solving a two class Lighthill-Whitham-Richards (LWR) traffic flow model is investigated in this paper. This scheme is based on combining a fourth-order central weighted essentially nonoscillatory (CWENO) reconstruction with semi-discre...
A fifth-order spatially accurate dual-compact upwind scheme was developed in a three-point grid stencil to approximate the first-order derivative term. The integrity of the proposed finite-difference time-domain method for solving TM-mode Maxwell’s equations verified using two-dimensional test ...
third-order QUICK scheme, the second-order ENO scheme and the third-order ENO scheme, were used to solve the level set equation in curvilinear coordinates. Some classical benchmark problems had been tested and excellent agreement between numerical results and benchmark experiments ...