Implicit lower-upper/approximate-factorization algorithms for viscous incompressible flows

Briley, W. R.; Neerarambam, Shyam; Whitfield, David L.

doi:10.2514/6.1995-1742

Cited by 5 publications

(3 citation statements)

References 14 publications

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“…Merkle and Athavale [15] and Rogers and Kwak [16,17] have reported successful computations using the pseudo-time iteration approach for the time-dependent flow problems. Further developments of numerical methods for incompressible viscous flows can be found in the work by Anderson et al [18] and by Briley et al [19].…”

Section: Introductionmentioning

confidence: 99%

Implicit weighted essentially non-oscillatory schemes for the incompressible Navier-Stokes equations

Chen

Yang

1999

Int. J. Numer. Meth. Fluids

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Section: Introductionmentioning

confidence: 99%

Implicit weighted essentially non-oscillatory schemes for the incompressible Navier-Stokes equations

Chen

Yang

1999

Int. J. Numer. Meth. Fluids

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“…The preconditioning methods for solving the incompressible flow problems were reviewed by Turkel [21]. Further developments of numerical methods for incompressible viscous flows can be found in the work by Anderson et al [22] and by Briley et al [23].…”

Section: Introductionmentioning

confidence: 99%

Implicit Weighted ENO Schemes for the Three-Dimensional Incompressible Navier–Stokes Equations

Yang¹,

Yang

Chen

et al. 1998

Journal of Computational Physics

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“…The second term is the spatial derivative of the variable F . To solve the system of equations, the flux vector splitting technique [16] and lower-upper approximate factorization scheme [17] are employed.…”

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

Shuffling Two Quarter-Wavelength Slabs: One-Dimensional Numerical Simulation

Lee¹,

2017

PIER M

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Abstract-An innovative idea of shuffled structure of two quarter wavelength plates is proposed in this paper, which is supported by the numerical simulation results obtained through the application of the method of characteristics (MOC). In contrast to traditional anti-reflective coatings techniques, the proposed structure is a shuffled arrangement of two quarter wavelength slabs which are in theory evenly divided into N + 1 and N pieces and then stacked up alternatively. These slabs are made of non-magnetic (μ r = 1) dielectric (ε r > 1) materials respectively characterized by dielectric constants ε r1 and ε r2 having the relation of ε r2 = (ε r1 ) 2 to allow maximum transmission. These 2N + 1 pieces are assembled such that there is always an ε r2 piece between two ε r1 pieces. Therefore, the proposed structure has the advantages of simple components and easy assembly. In the present simulation, the integer number N ranges from one to ten. The computational results are demonstrated in both time and frequency domains exhibiting that the proposed structure functions as a frequency selector.

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Implicit lower-upper/approximate-factorization algorithms for viscous incompressible flows

Cited by 5 publications

References 14 publications

Implicit weighted essentially non-oscillatory schemes for the incompressible Navier-Stokes equations

Implicit weighted essentially non-oscillatory schemes for the incompressible Navier-Stokes equations

Implicit Weighted ENO Schemes for the Three-Dimensional Incompressible Navier–Stokes Equations

Shuffling Two Quarter-Wavelength Slabs: One-Dimensional Numerical Simulation

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