Development of least squares moving particle semi-implicit method

Tasuku Tamai; Kazuya Shibata; Seiichi Koshizuka

Development of least squares moving particle semi-implicit method

Tasuku Tamai, Kazuya Shibata, Seiichi Koshizuka

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, with focusing particular attention on a major issue - the lack of consistency conditions on the spatial discretization schemes of the existing MPS method, we develop a new meshfree particle method named Least Squares Moving Particle Semi-implicit/Simulation (LSMPS) method. The new schemes have arbitraly higher order consistency conditions, make treatment of boundary conditions exceedingly easy, and can be applied for both Eulerian and Lagrangian framework. Moreover, applications of the new schemes for numerical analysis of incompressible flows with the free surfaces result in enhancement of numerical accuracy and stability.

Original language	English
Title of host publication	Particle-Based Methods III
Subtitle of host publication	Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013
Pages	840-851
Number of pages	12
Publication status	Published - 2013
Externally published	Yes
Event	3rd International Conference on Particle-Based Methods Fundamentals and Applications, Particles 2013 - Stuttgart, Germany Duration: 2013 Sept 18 → 2013 Sept 20

Publication series

Name	Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013

Conference

Conference	3rd International Conference on Particle-Based Methods Fundamentals and Applications, Particles 2013
Country/Territory	Germany
City	Stuttgart
Period	13/9/18 → 13/9/20

Keywords

High order schemes
Least squares moving particle semi-implicit method
Least squares moving particle simulation method
Lsmps method
Moving particle semi-implicit method mps method

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Cite this

Tamai, T., Shibata, K., & Koshizuka, S. (2013). Development of least squares moving particle semi-implicit method. In Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013 (pp. 840-851). (Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013).

Development of least squares moving particle semi-implicit method. / Tamai, Tasuku; Shibata, Kazuya; Koshizuka, Seiichi.
Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013. 2013. p. 840-851 (Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Tamai, T, Shibata, K & Koshizuka, S 2013, Development of least squares moving particle semi-implicit method. in Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013. Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013, pp. 840-851, 3rd International Conference on Particle-Based Methods Fundamentals and Applications, Particles 2013, Stuttgart, Germany, 13/9/18.

Tamai T, Shibata K, Koshizuka S. Development of least squares moving particle semi-implicit method. In Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013. 2013. p. 840-851. (Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013).

Tamai, Tasuku ; Shibata, Kazuya ; Koshizuka, Seiichi. / Development of least squares moving particle semi-implicit method. Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013. 2013. pp. 840-851 (Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013).

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Development of least squares moving particle semi-implicit method

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

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