A finite–difference scheme for three–dimensional incompressible flows in spherical coordinates

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109848 ◽

2021 ◽

Vol 424 ◽

pp. 109848

Author(s):

L. Santelli ◽

P. Orlandi ◽

R. Verzicco

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Incompressible Flows ◽

Three Dimensional ◽

Spherical Coordinates

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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 ◽

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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A STABLE THREE-LEVEL FINITE-DIFFERENCE SCHEME FOR SOLVING A THREE-DIMENSIONAL DUAL-PHASE-LAGGING HEAT TRANSPORT EQUATION IN SPHERICAL COORDINATES

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790490449318 ◽

2004 ◽

Vol 46 (2) ◽

pp. 121-139 ◽

Author(s):

Weizhong Dai ◽

Lixin Shen ◽

Teng Zhu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Spherical Coordinates ◽

Heat Transport Equation

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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 ◽

Author(s):

Jianmin Long ◽

Chaojun Luo ◽

Qian Yu ◽

Yibao Li

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Three Dimensional ◽

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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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A convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10073 ◽

2003 ◽

Vol 20 (1) ◽

pp. 60-71 ◽

Author(s):

Weizhong Dai ◽

Lixin Shen ◽

Raja Nassar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Spherical Coordinates ◽

Heat Transport Equation

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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) ◽

Author(s):

Carey Marcinkovich ◽

Kim Olsen

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Perfectly Matched Layers ◽

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A discrete solenoidal finite difference scheme for the numerical approximation of incompressible flows

Numerische Mathematik ◽

10.1007/bf01396360 ◽

1989 ◽

Vol 54 (5) ◽

pp. 533-542

Author(s):

Manfred Dobrowolski

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Numerical Approximation ◽

Incompressible Flows

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Staggered Finite Difference Scheme for Global Stability Analysis of Incompressible Flows

40th Fluid Dynamics Conference and Exhibit ◽

10.2514/6.2010-4722 ◽

2010 ◽

Author(s):

Xavier Merle ◽

Jean-Christophe Robinet

Keyword(s):

Stability Analysis ◽

Finite Difference ◽

Difference Scheme ◽

Global Stability ◽

Finite Difference Scheme ◽

Incompressible Flows ◽

Global Stability Analysis

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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 ◽

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A stable and convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2003.10.013 ◽

2004 ◽

Vol 47 (8-9) ◽

pp. 1817-1825 ◽

Author(s):

Weizhong Dai ◽

Lixin Shen ◽

Raja Nassar ◽

Teng Zhu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Spherical Coordinates ◽

Heat Transport Equation

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