Hybrid numerical method with adaptive overlapping meshes for solving nonstationary problems in continuum mechanics


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Аннотация

Techniques that improve the accuracy of numerical solutions and reduce their computational costs are discussed as applied to continuum mechanics problems with complex time-varying geometry. The approach combines shock-capturing computations with the following methods: (1) overlapping meshes for specifying complex geometry; (2) elastic arbitrarily moving adaptive meshes for minimizing the approximation errors near shock waves, boundary layers, contact discontinuities, and moving boundaries; (3) matrix-free implementation of efficient iterative and explicit–implicit finite element schemes; (4) balancing viscosity (version of the stabilized Petrov–Galerkin method); (5) exponential adjustment of physical viscosity coefficients; and (6) stepwise correction of solutions for providing their monotonicity and conservativeness.

Авторлар туралы

N. Burago

Institute for Problems of Mechanics

Хат алмасуға жауапты Автор.
Email: buragong@yandex.ru
Ресей, pr. Vernadskogo 101, korp. 1, Moscow, 119526

I. Nikitin

Institute for Computer-Aided Design

Email: buragong@yandex.ru
Ресей, ul. Vtoraya Brestskaya 19/18, Moscow, 123056

V. Yakushev

Institute for Computer-Aided Design

Email: buragong@yandex.ru
Ресей, ul. Vtoraya Brestskaya 19/18, Moscow, 123056

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