[Oral Presentation]一种考虑Lagrange型余项的λ-FPM方法

Organized By

Hohai University

Monash University

Co-organized by

Southeast University

Jiangxi University of Science and Technology

Northeast University

DUT-BSU Scientific Research and Innovation Center

Suzhou University of Science and Technology

State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment

Sponsoring agency

KELI SDEM Software (Dalian) Co., Ltd.

Sugon Smart Computing Information Technology Co., Ltd.

Beijing Paratera Technology Co., Ltd.

Simpop Information Technology Co., Ltd.

Important Dates

Conference Announcement

December 2023, release First Round Announcement
Abstract Submission Deadline
March 31^th, 2024
Paper Submission Deadline
April 30^th, 2024
Registration
From January 1^st, 2024
Conference Schedule
May 31^st (Friday), 2024 On-Site Registration
June 1^st to 3^rd, 2024 Conference

一种考虑Lagrange型余项的λ-FPM方法

ID：173 Submission ID：263 View Protection：ATTENDEE Updated Time：2024-04-30 09:40:25 Hits：442 Oral Presentation

Start Time：Pending （Asia/Shanghai）

Duration：Pending

Session：[No Session] » [No Session Block]

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Abstract

有限粒子法（Finite Particle Method, FPM）是对传统光滑粒子流体动力学方法（Smoothed Particle Hydrodynamics, SPH）的重要改进，可以大大提高整个计算域的计算精度。然而，计算不稳定、耗时长仍是FPM方法发展的主要障碍。本文利用矩阵分解，对传统FPM方法的基本方程进行解耦，并引入Lagrange型余项，推导得到了一种新型的λ-FPM方法，并从理论上证明了λ-FPM方法的数值稳定性。一致性分析表明，λ-FPM方法可以利用较小的计算规模达到与FPM方法相同的计算精度，实现了计算效率的提升。进一步，将λ-FPM方法应用于工程实例，并将计算结果与SPH方法和FPM方法进行对比，验证了λ-FPM方法在计算精度和稳定性方面的优势。

Keywords

SPH方法，FPM方法，矩阵解耦，Lagrange型余项

Sponsored By

Hohai University

Panel of Computational Mechanics on Granular Materials, Working Party of Computational Mechanics, Chinese Society of Theoretical and Applied Mechanics

Jiangsu Society of Theoretical and Applied Mechanics