کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8901973 1631951 2018 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Point cloud movement for fully Lagrangian meshfree methods
ترجمه فارسی عنوان
جنبش ابر نقطه برای روش های کاملا بدون نقص لاگرانژی
کلمات کلیدی
مشروب، روش ذرات، چارچوب لاگرانژی، ابر نقطه، جنبش، جریان سیالات،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
In Lagrangian meshfree methods, the underlying spatial discretization, referred to as a point cloud or a particle cloud, moves with the flow velocity. In this paper, we consider different numerical methods of performing this movement of points or particles. The movement is most commonly done by a first order method, which assumes the velocity to be constant within a time step. We show that this method is very inaccurate and that it introduces volume and mass conservation errors. We further propose new methods for the same which prescribe an additional ODE system that describes the characteristic velocity. Movement is then performed along this characteristic velocity. The first new way of moving points is an extension of mesh-based streamline tracing ideas to meshfree methods. In the second way, the movement is done based on the difference in approximated streamlines between two time levels, which approximates the pathlines in unsteady flow. Numerical comparisons show these methods to be vastly superior to the conventionally used first order method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 340, 1 October 2018, Pages 89-100
نویسندگان
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