Adaptive Grid Generation by Elliptic Equations With Grid Control at All of the Boundaries

Jeng, Yih; Liou, Yuan Chang

doi:10.1080/10407799308914894

Cited by 9 publications

(4 citation statements)

References 21 publications

(14 reference statements)

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“…(&7) and (11). The resulting overall grid distribution is similar to that of Fig.la, and the detailed grid distribution is demonstrated in Fig.2.…”

Section: Resultssupporting

confidence: 55%

“…This grid distribution generated by Eqs. (6) and (11) has three imperfections: Figure 3b demonstrates the grid oscillation at the trailing edge of the first airfoil; Figure 3c demonstrates grid overlapping at the leading edge of the second airfoil; and the grid oscillation around the trailing edge of the second airfoil is not shown here. The resulting detailed grid distributions corresponding to Fig.3c, after the improvement made by employing Eqs.…”

Section: Resultsmentioning

confidence: 94%

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The grid combination method for the hyperbolic grid solver in regions with enclosed boundaries

Jeng¹,

Shu²

1995

33rd Aerospace Sciences Meeting and Exhibit

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A grid combination method, based on a modified hyperbolic grid solver, is developed to generate tw+ dimensional grid systems in regions with prescribed grid distribution along all of the boundaries. The hyperbolic grid solver uses a predictor-corrector scheme and is a modified version of the hyperbolic grid generation method of Tai, Yih, and Soong, which applied the Roe first order upwind splitting to the Steger and Chaussee grid generation equations. Four grid sys-0 intersection angle between grid lines terns are first marched from each boundary toward its opposite boundary and then combined to give the a,o functions defined in As arc length, Eq.(12) A t , . . . = t i -ti-1,. . . user specified constant, Eq.(9) eigenvalue of C scaling factor, Eq.(ll) coordinates on computational domain t , 7

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“…(&7) and (11). The resulting overall grid distribution is similar to that of Fig.la, and the detailed grid distribution is demonstrated in Fig.2.…”

Section: Resultssupporting

confidence: 55%

Section: Resultsmentioning

confidence: 94%

The grid combination method for the hyperbolic grid solver in regions with enclosed boundaries

Jeng¹,

Shu²

1995

33rd Aerospace Sciences Meeting and Exhibit

View full text Add to dashboard Cite

show abstract

“…Employ Eqs. (3a)-(3d), (7)- (10), and all the other corresponding equations twice to estimate the unknown grid level, which is a closed grid front next to the level to be generated. 4.…”

Section: Downloaded By [Stanford University Libraries] At 14:53 13 Ocmentioning

confidence: 99%

“…The second method involves solving elliptical, parabolic, or hyperbolic partial differential equations, among which the elliptical equation method is the most popular. The elliptical equation method [1][2][3][4][5][6][7][8][9][10][11] can preserve grid orthogonality around boundaries and grid smoothness over the entire domain but generally requires much more computing time than other methods. Equations of the parabolic equation method are obtained by modifying proper terms from the grid equations of the elliptical equation method [12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%