Upwind finite-volume Navier-Stokes computations on unstructured triangular meshes

Pan, Dartzi; Cheng, Jen Chieh

doi:10.2514/3.11823

Cited by 35 publications

(11 citation statements)

References 9 publications

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“…The inversion of Equation (9) is completed iteratively by an approximate LU factorization scheme (ALU) [13]. The implicit operator is split into a diagonal matrix D, a lower triangular part L and an upper triangular part U.…”

Section: Approximate Lu Factorizationmentioning

confidence: 99%

The capturing of free surfaces in incompressible multi-fluid flows

Pan

Chang

2000

Int. J. Numer. Meth. Fluids

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By treating it as a contact discontinuity in the density field, a free surface between two immiscible fluids can be automatically ‘captured’ by the enforcement of conservation laws. A surface‐capturing method of this kind requires no special tracking or fitting treatment for the free surface, thereby offering the advantage of algorithm simplicity over the surface‐tracking or the surface‐fitting method. A surface‐capturing method based on a new multi‐fluid incompressible Navier–Stokes formulation is developed. It is applied to a variety of free‐surface flows, including the Rayleigh–Taylor instability problem, the ship waves around a Wigley hull and a model bubble‐rising problem to demonstrate the validity and versatility of the present method. Copyright © 2000 John Wiley & Sons, Ltd.

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Section: Approximate Lu Factorizationmentioning

confidence: 99%

The capturing of free surfaces in incompressible multi-fluid flows

Pan

Chang

2000

Int. J. Numer. Meth. Fluids

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“…3. This modification increases the support of the stencil and consequently smoothens the computed gradients for highly distorted triangles, thus enhancing the stability of the overall scheme [21].…”

Section: Linear Reconstructionmentioning

confidence: 99%

“…An alternate procedure, which avoids involvement of vertex values for Euler computations, has been proposed by Pan and Cheng [21]. They essentially employ Barth and Jespersen's three-point stencil in their construction but the gradient is centered owing to contributions from the three neighbors that share an interface as shown in Fig.…”

Section: Linear Reconstructionmentioning

confidence: 99%

A High-Resolution Procedure for Euler and Navier–Stokes Computations on Unstructured Grids

Jawahar¹,

Kamath²

2000

Journal of Computational Physics

181

113

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“…The scheme is then monotonic but not conservative. Another variant of gradient reconstruction [21,22] consists of defining a control volume around each edge (diamond cell) and in applying a Green-Gauss formula (Fig. 3(c)).…”

Section: ''Cell-vertex" Methodsmentioning

confidence: 99%