High-accuracy finite-difference schemes for solving elastodynamic problems in curvilinear coordinates within multiblock approach

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.06.005 ◽

2015 ◽

Vol 93 ◽

pp. 176-194 ◽

Cited By ~ 10

Author(s):

Leonid Dovgilovich ◽

Ivan Sofronov

Keyword(s):

Finite Difference ◽

High Accuracy ◽

Difference Schemes ◽

Curvilinear Coordinates ◽

Finite Difference Schemes

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On Construction of Combined Shock-Capturing Finite-Difference Schemes of High Accuracy

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-319-57099-0_59 ◽

2017 ◽

pp. 525-532

Author(s):

Vladimir Ostapenko ◽

Olyana Kovyrkina

Keyword(s):

Finite Difference ◽

High Accuracy ◽

Difference Schemes ◽

Shock Capturing ◽

Finite Difference Schemes

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Proper Finite Difference Schemes for Simulations of Incompressible Turbulent Flow in Generalized Curvilinear Coordinates. 2nd Report, Validation of finite difference schemes in Generalized Curvilinear Coordinates.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.65.1568 ◽

1999 ◽

Vol 65 (633) ◽

pp. 1568-1576

Author(s):

Tetsuya KOGAKI ◽

Toshio KOBAYASHI ◽

Nobuyuki TANIGUCHI

Keyword(s):

Finite Difference ◽

Turbulent Flow ◽

Difference Schemes ◽

Curvilinear Coordinates ◽

Finite Difference Schemes

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On the Construction of Combined Finite-Difference Schemes of High Accuracy

Doklady Mathematics ◽

10.1134/s1064562418010246 ◽

2018 ◽

Vol 97 (1) ◽

pp. 77-81 ◽

Cited By ~ 11

Author(s):

O. A. Kovyrkina ◽

V. V. Ostapenko

Keyword(s):

Finite Difference ◽

High Accuracy ◽

Difference Schemes ◽

Finite Difference Schemes

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A Method for the Implementation of Boundary Conditions in High-Accuracy Finite-Difference Schemes

43rd AIAA Aerospace Sciences Meeting and Exhibit ◽

10.2514/6.2005-608 ◽

2005 ◽

Cited By ~ 4

Author(s):

Ray Hixon ◽

M. Nallasamy ◽

Scott Sawyer

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

High Accuracy ◽

Difference Schemes ◽

Finite Difference Schemes

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Implicit high-accuracy finite-difference schemes for the “shock capturing” calculation of discontinuous solutions

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(75)90064-6 ◽

1975 ◽

Vol 15 (2) ◽

pp. 242-247

Author(s):

A.N. Minailos ◽

A.I. Tolstykh

Keyword(s):

Finite Difference ◽

High Accuracy ◽

Difference Schemes ◽

Shock Capturing ◽

Finite Difference Schemes ◽

Discontinuous Solutions

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Evaluation of generalized curvilinear coordinate transformations applied to high-accuracy finite-difference schemes

10.2514/6.1998-370 ◽

1998 ◽

Cited By ~ 4

Author(s):

R. Hixon ◽

S.-H. Shih ◽

T. Dong ◽

R. Mankbadi

Keyword(s):

Finite Difference ◽

High Accuracy ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Coordinate Transformations ◽

Curvilinear Coordinate

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Optimized Compact Finite Difference Schemes with High Accuracy and Maximum Resolution

International Journal of Aeroacoustics ◽

10.1260/147547208784649464 ◽

2008 ◽

Vol 7 (2) ◽

pp. 123-146 ◽

Cited By ~ 7

Author(s):

Zhanxin Liu ◽

Qibai Huang ◽

Zhigao Zhao ◽

Jixuan Yuan

Keyword(s):

Finite Difference ◽

High Accuracy ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Compact Finite Difference ◽

Maximum Resolution ◽

Compact Finite Difference Schemes

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Finite-difference schemes for steady incompressible Navier-Stokes equations in general curvilinear coordinates

Computers & Fluids ◽

10.1016/0045-7930(91)90072-p ◽

1991 ◽

Vol 19 (3-4) ◽

pp. 479-488 ◽

Cited By ~ 17

Author(s):

T. Ikohagi ◽

B.R. Shin

Keyword(s):

Finite Difference ◽

Stokes Equations ◽

Difference Schemes ◽

Curvilinear Coordinates ◽

Navier Stokes ◽

Finite Difference Schemes ◽

Navier Stokes Equations

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Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.11.011 ◽

2009 ◽

Vol 198 (9-12) ◽

pp. 1052-1060 ◽

Cited By ~ 58

Author(s):

Shu-Sen Xie ◽

Guang-Xing Li ◽

Sucheol Yi

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

High Accuracy ◽

Nonlinear Schrodinger Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Compact Finite Difference ◽

One Dimensional ◽

Compact Finite Difference Schemes

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High Order Boundary Conditions for High Order Finite Difference Schemes on Curvilinear Coordinates Solving Compressible Flows

Journal of Scientific Computing ◽

10.1007/s10915-015-9988-4 ◽

2015 ◽

Vol 65 (2) ◽

pp. 790-820 ◽

Cited By ~ 4

Author(s):

Zhen-sheng Sun ◽

Yu-xin Ren ◽

Bai-lin Zha ◽

Shi-ying Zhang

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Compressible Flows ◽

High Order ◽

Difference Schemes ◽

Curvilinear Coordinates ◽

Finite Difference Schemes ◽

High Order Finite Difference

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