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32.81
T96
Turar, O. N
Design of adaptive unstructured grids using differential methods [Текст] / O.N Turar // Әл - Фараби ат. ҚҰУ Хабаршы = Вестник КазНУ им Аль - Фараби. - Алматы, 2018. - №2(98). - Р. 88-97. - (Математика, механика, информатика сериясы=Серия математика, механика, информатика. Journal of Mathematics, Mechanics, Computer Science.)
ББК 32.81
Рубрики: Информатика
Кл.слова (ненормированные):
computational grid construction algorithm -- unstructured mesh -- adaptive mesh -- differential elliptic equations -- reversed Beltrami equation
Аннотация: Adaptive generation of computational grids can improve the efficiency of mathematical model-ing by increasing the accuracy of numerical approximations. The paper describes a method forconstructing unstructured grids with adaptation based on differential methods. The applicationof these methods ensures a smooth distribution of the geometric characteristics of the grid, i.e.the appearance of adjacent cells that differ greatly in size and shape becomes unlikely. To achieveproper adaptation in unstructured grids we use the novel approach based on methodology of adap-tive structured grid construction. This approach uses the method of grid construction based onsolving inverted Beltrami equation to create mapping of some sample grid domain to the physicalarea. This mapping is used to construct point set on which the unstructured grid is constructedusing Delaunay triangulation method. Thus, the result is unstructured grid with proper adapta-tion. Adding fault and fractures or other structure elements may be supported by implementingconstrained Delaunay triangulation.
Держатели документа:
ЗКГУ
Доп.точки доступа:
Akhmed-Zaki, D.Zh
T96
Turar, O. N
Design of adaptive unstructured grids using differential methods [Текст] / O.N Turar // Әл - Фараби ат. ҚҰУ Хабаршы = Вестник КазНУ им Аль - Фараби. - Алматы, 2018. - №2(98). - Р. 88-97. - (Математика, механика, информатика сериясы=Серия математика, механика, информатика. Journal of Mathematics, Mechanics, Computer Science.)
Рубрики: Информатика
Кл.слова (ненормированные):
computational grid construction algorithm -- unstructured mesh -- adaptive mesh -- differential elliptic equations -- reversed Beltrami equation
Аннотация: Adaptive generation of computational grids can improve the efficiency of mathematical model-ing by increasing the accuracy of numerical approximations. The paper describes a method forconstructing unstructured grids with adaptation based on differential methods. The applicationof these methods ensures a smooth distribution of the geometric characteristics of the grid, i.e.the appearance of adjacent cells that differ greatly in size and shape becomes unlikely. To achieveproper adaptation in unstructured grids we use the novel approach based on methodology of adap-tive structured grid construction. This approach uses the method of grid construction based onsolving inverted Beltrami equation to create mapping of some sample grid domain to the physicalarea. This mapping is used to construct point set on which the unstructured grid is constructedusing Delaunay triangulation method. Thus, the result is unstructured grid with proper adapta-tion. Adding fault and fractures or other structure elements may be supported by implementingconstrained Delaunay triangulation.
Держатели документа:
ЗКГУ
Доп.точки доступа:
Akhmed-Zaki, D.Zh
Страница 1, Результатов: 1