132:
38:(CFD) in terms of holecutting and interpolation when two meshes lie one inside the other. The other variations of the problem would be something like this: Given a place, at which latitude and longitude does it lie? The brute force algorithm would find the distance of the point from every mesh point and see which is smallest. Another approach would be to use a
69:
52:
102:
Each of these cross products are checked one by one (in the order shown) on which becomes negative first. If OA × AB becomes negative first, the next guess should be one step ahead along DA. If OB × BC is negative first, move along AB by one step to find the next guess and so on.
84:
The algorithm needs a guess grid element to start off. The grid element can be found by the location of one point say A. The other points can be automatically located by getting the subsequent points. The required cross products are then found in the order
64:
of OA and AB will yield a vector perpendicular to the plane coming out of the screen. We say that the magnitude of the cross product is positive. It will be observed that the cross products of OB and BC, OC and CD; and OD and DA are all positive.
59:
Consider one grid element of a 2-dimensional mesh as shown, for simplicity and consider a point O inside. The vertices of the grid element are denoted by A, B, C and D and the vectors AB, BC, CD, DA, OA, OB, OC and OD are represented. The
42:
which would yield a result comparable in speed to the stencil jumping algorithm. A combination of both the binary search and the stencil jumping algorithm will yield an optimum result in the minimum possible time.
76:
This is not the case when the point is outside. Here we see that not all the cross products are positive. This is the major testing criterion in the algorithm.
214:
241:
Prewitt, Nathan C; Belk, Davy M; Shyy, Wei (2000). "Parallel computing of overset grids for aerodynamic problems with moving objects".
175:
153:
291:
35:
27:
to locate the grid element enclosing a given point for any structured mesh. In simple words, given a point and a
191:
146:
140:
39:
157:
250:
115:
106:
The algorithm will converge at the exact grid element where all the cross products are positive.
28:
223:
258:
254:
262:
31:, this algorithm will help locate the grid element that will enclose the given point.
285:
61:
276:
24:
68:
51:
222:. 1st Symposium on Marine Applications of CFD. p. 5. Archived from
216:
CFDSHIP-IOWA and Steady Flow RANS Simulation of DTMB Model 5415
125:
213:E.G. Paterson; R.V. Wilson; F. Stern (May 1998).
199:Technical Reports: USAF, Wright Lab., Eglin AFB
192:"A MULTIGRID APPROACH TO EMBEDDED-GRID SOLVERS"
72:The point O lies outside the grid element ABCD.
55:The point O lies inside the grid element ABCD.
8:
176:Learn how and when to remove this message
139:This article includes a list of general
67:
50:
190:Rudy A. Johnson; Davy M. Belk (1993).
34:This algorithm finds extensive use in
7:
145:it lacks sufficient corresponding
14:
130:
243:Progress in Aerospace Sciences
1:
263:10.1016/S0376-0421(99)00013-5
36:Computational Fluid Dynamics
308:
80:How does it move forward?
160:more precise citations.
40:binary search algorithm
73:
56:
71:
54:
292:Geometric algorithms
195:(PDF (Fee required))
255:2000PrAeS..36..117P
229:on October 27, 2004
116:Five-point stencil
74:
57:
19:, at times called
186:
185:
178:
299:
277:pegasus software
266:
237:
235:
234:
228:
221:
209:
207:
206:
196:
181:
174:
170:
167:
161:
156:this article by
147:inline citations
134:
133:
126:
307:
306:
302:
301:
300:
298:
297:
296:
282:
281:
273:
240:
232:
230:
226:
219:
212:
204:
202:
201:. AIAA-1993-769
194:
189:
182:
171:
165:
162:
152:Please help to
151:
135:
131:
124:
112:
82:
49:
29:structured mesh
21:stencil walking
17:Stencil jumping
12:
11:
5:
305:
303:
295:
294:
284:
283:
280:
279:
272:
271:External links
269:
268:
267:
238:
210:
184:
183:
138:
136:
129:
123:
120:
119:
118:
111:
108:
100:
99:
96:
93:
90:
81:
78:
48:
45:
13:
10:
9:
6:
4:
3:
2:
304:
293:
290:
289:
287:
278:
275:
274:
270:
264:
260:
256:
252:
248:
244:
239:
225:
218:
217:
211:
200:
193:
188:
187:
180:
177:
169:
159:
155:
149:
148:
142:
137:
128:
127:
121:
117:
114:
113:
109:
107:
104:
97:
94:
91:
88:
87:
86:
79:
77:
70:
66:
63:
62:cross product
53:
47:The principle
46:
44:
41:
37:
32:
30:
26:
22:
18:
246:
242:
231:. Retrieved
224:the original
215:
203:. Retrieved
198:
172:
163:
144:
105:
101:
83:
75:
58:
33:
20:
16:
15:
158:introducing
249:(2): 117.
233:2007-05-31
205:2007-05-31
141:references
122:References
166:July 2018
25:algorithm
286:Category
110:See also
23:, is an
251:Bibcode
154:improve
98:OD × DA
95:OC × CD
92:OB × BC
89:OA × AB
143:, but
227:(PDF)
220:(PDF)
259:doi
288::
257:.
247:36
245:.
197:.
265:.
261::
253::
236:.
208:.
179:)
173:(
168:)
164:(
150:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
