Higher-Order, Finite-Difference Scheme for Three-Dimensional Transonic Flowfields about Axisymmetric Bodies

Lee-tzong Chen; D. A. Caughey

doi:10.2514/3.57953

Higher-Order, Finite-Difference Scheme for Three-Dimensional Transonic Flowfields about Axisymmetric Bodies

Journal of Aircraft ◽

10.2514/3.57953 ◽

1980 ◽

Vol 17 (9) ◽

pp. 668-676 ◽

Cited By ~ 12

Author(s):

Lee-tzong Chen ◽

D. A. Caughey

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Higher Order ◽

Axisymmetric Bodies

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Robust higher order finite difference scheme for singularly perturbed turning point problem with two outflow boundary layers

Computational and Applied Mathematics ◽

10.1007/s40314-021-01564-w ◽

2021 ◽

Vol 40 (5) ◽

Author(s):

Vikas Gupta ◽

Sanjay K. Sahoo ◽

Ritesh K. Dubey

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Boundary Layers ◽

Finite Difference Scheme ◽

Turning Point ◽

Higher Order ◽

Singularly Perturbed ◽

Point Problem ◽

Outflow Boundary

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A Finite-Difference Scheme for Three-Dimensional Incompressible Flows in Cylindrical Coordinates

Journal of Computational Physics ◽

10.1006/jcph.1996.0033 ◽

1996 ◽

Vol 123 (2) ◽

pp. 402-414 ◽

Cited By ~ 370

Author(s):

R. Verzicco ◽

P. Orlandi

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Incompressible Flows ◽

Three Dimensional ◽

Cylindrical Coordinates

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Higher Order Finite Difference Scheme for solving 3D Black-Scholes equation based on Generic Factored Approximate Sparse Inverse Preconditioning using Reordering Schemes

Proceedings of the 18th Panhellenic Conference on Informatics - PCI '14 ◽

10.1145/2645791.2645821 ◽

2014 ◽

Author(s):

E-N. G. Grylonakis ◽

C. K. Filelis-Papadopoulos ◽

G. A. Gravvanis

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Higher Order ◽

Black Scholes

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An unconditional stable compact fourth-order finite difference scheme for three dimensional Allen–Cahn equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.10.028 ◽

2019 ◽

Vol 77 (4) ◽

pp. 1042-1054 ◽

Cited By ~ 2

Author(s):

Jianmin Long ◽

Chaojun Luo ◽

Qian Yu ◽

Yibao Li

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Cahn Equation

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Uniformly convergent higher-order finite difference scheme for singularly perturbed parabolic problems with non-smooth data

Journal of Applied Mathematics and Computational Mechanics ◽

10.17512/jamcm.2021.1.01 ◽

2021 ◽

Vol 20 (1) ◽

pp. 5-16

Author(s):

Tesfaye Aga Bullo ◽

Guy Aymard Degla ◽

Gemechis File Duressa

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Higher Order ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Uniformly Convergent ◽

Singularly Perturbed Parabolic Problems ◽

Smooth Data

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Acceleration of high-order combined compact finite difference scheme for simulating three-dimensional flow and heat transfer problems in GPUs

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2020.1783127 ◽

2020 ◽

Vol 78 (4) ◽

pp. 265-287

Author(s):

Neo Shih-Chao Kao ◽

Rex Kuan-Shuo Liu ◽

Tony Wen-Hann Sheu

Keyword(s):

Heat Transfer ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Three Dimensional Flow ◽

Compact Finite Difference Scheme ◽

Dimensional Flow ◽

Flow And Heat Transfer ◽

Transfer Problems

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On the implementation of perfectly matched layers in a three-dimensional fourth-order velocity-stress finite difference scheme

Journal of Geophysical Research Atmospheres ◽

10.1029/2002jb002235 ◽

2003 ◽

Vol 108 (B5) ◽

Cited By ~ 63

Author(s):

Carey Marcinkovich ◽

Kim Olsen

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Perfectly Matched Layers ◽

Matched Layers

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A second-order finite-difference scheme for computing three-dimensional supersonic flows of an ideal gas

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(89)90117-1 ◽

1989 ◽

Vol 29 (4) ◽

pp. 65-71

Author(s):

M.K. Aukin ◽

R.K. Tagirov

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Supersonic Flows ◽

Ideal Gas ◽

Second Order

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A higher-order, finite-difference scheme for transonic flowfields around complex 3-D geometries

10.2514/6.1979-1460 ◽

1979 ◽

Cited By ~ 1

Author(s):

L.-T. CHEN ◽

D. CAUGHEY

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Higher Order

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A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106949 ◽

2021 ◽

Vol 115 ◽

pp. 106949

Author(s):

Alexander Zlotnik ◽

Raimondas Čiegis

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Higher Order

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