کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4964019 1447416 2017 49 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth
ترجمه فارسی عنوان
پالین های تصفیه شده و زبر شده سلسله مراتبی برای مشکلات متحرک متحرک، با استفاده خاص از مدل های فاز میدان رشد تومور پروستات
کلمات کلیدی
آنالیز ایزوگومتریک، طراحی بی سابقه، پالایش و برداشت محلی، فضاهای سلولی سلسله مراتبی، میدان فاز، رشد تومور،
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
Moving interface problems are ubiquitous in science and engineering. To develop an accurate and efficient methodology for this class of problems, we present algorithms for local h-adaptivity of hierarchical B-splines to be utilized in isogeometric analysis. We extend Bézier projection, an efficient quadrature-free local projection technique, to the hierarchical setting. In this case, extraction operators may not be invertible. To address this issue we develop a multi-level reconstruction operator which maintains the locality properties of the projection. We also introduce a balance parameter to control the overlap of hierarchical functions leading to improved numerical conditioning. We apply our algorithms to the simulation of localized prostate cancer growth. We model this disease using the phase-field method and a set of diffusion-reaction equations to account for the dynamics of nutrients and a key biomarker termed Prostate Specific Antigen. Our results include examples on simple 2D and 3D domains and a more compelling tissue-scale, patient-specific simulation, which is run over a prostate anatomy extracted from medical images. Our methods for local h-adaptivity efficiently capture the evolving interface between the tumor and the neighboring healthy tissue with remarkable accuracy in all cases.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 319, 1 June 2017, Pages 515-548
نویسندگان
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