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مهندسی مکانیک مدرس، جلد ۲۵، شماره ۵، صفحات ۲۹۵-۳۰۶
عنوان فارسی Combined WENO Schemes for Increasing the Accuracy of the Numerical Solution of Conservation Laws
چکیده فارسی مقاله In this article, we introduce a new method which allows utilizing all the available sub-stencils of a WENO scheme to increase the accuracy of the numerical solution of conservation laws while preserving the non-oscillatory property of the scheme. In this method, near a discontinuity, if there is a smooth sub-stencil with higher-order of accuracy, it is used in the reconstruction procedure. Furthermore, in smooth regions, all the sub-stencils of the same order of accuracy form the stencil with the highest order of accuracy as the conventional WENO scheme. The presented method is assessed using several test cases of the linear wave equation and one- and two-dimensional Euler’s equations of gas dynamics. In addition to the original weights of WENO schemes, the WENO-Z approach is used. The results show that the new method increases the accuracy of the results while properly maintaining the ENO property
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عنوان انگلیسی Combined WENO Schemes for Increasing the Accuracy of the Numerical Solution of Conservation Laws
چکیده انگلیسی مقاله In this article, we introduce a new method which allows utilizing all the available sub-stencils of a WENO scheme to increase the accuracy of the numerical solution of conservation laws while preserving the non-oscillatory property of the scheme. In this method, near a discontinuity, if there is a smooth sub-stencil with higher-order of accuracy, it is used in the reconstruction procedure. Furthermore, in smooth regions, all the sub-stencils of the same order of accuracy form the stencil with the highest order of accuracy as the conventional WENO scheme. The presented method is assessed using several test cases of the linear wave equation and one- and two-dimensional Euler’s equations of gas dynamics. In addition to the original weights of WENO schemes, the WENO-Z approach is used. The results show that the new method increases the accuracy of the results while properly maintaining the ENO property
کلیدواژه‌های انگلیسی مقاله WENO Schemes,Shock-capturing schemes,Nonlinear Weights
نویسندگان مقاله حسین محمودی داریان | Hossein Mahmoodi Darian
University of Tehran
دانشگاه تهران

نشانی اینترنتی http://mme.modares.ac.ir/browse.php?a_code=A-10-22990-5&slc_lang=fa&sid=15
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