کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
498646 863006 2010 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics: Part II: fractional step methods
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics: Part II: fractional step methods
چکیده انگلیسی

This article proposes a new type of discretizations for initial boundary value problems of thermodynamical systems. Based on a combination of finite elements in space and fractional step methods in time, we formulate algorithms that exactly preserve the symmetries and the laws of thermodynamics of the continuum problem. The algorithmic design is based on the GENERIC formalism of irreversible thermodynamics which naturally suggests the split of the evolution operator upon which our fractional step method is based. Although the emphasis of the article is on the generality of the results, as an illustration, a discretization of nonlinear, finite strain, thermoelasticity is presented. Numerical simulations are provided that verify the excellent performance of the new methods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 199, Issues 33–36, 1 July 2010, Pages 2235–2248
نویسندگان
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