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Code Verification of PECM with Strongly Discontinuous Flows

Authors:
Zhibo Ma

Keywords: PECM; RKPM; meshfree method; code verification

Abstract:
The simulation of compressible flows with strong discontinuities is necessary to verify meshfree methods. In order to eliminate inconsistencies between mathematics and physics of existing meshfree methods exposed especially when discontinuities exist, a different set of kernel functions, modularizing factors and discrete equations is put forward by a new meshfree method named Physics Evoked Cloud Method (PECM). In this paper, PECM is briefly introduced and is verified by posteriori assessments based on comparisons between numerical and exact solutions. The assessments show that PECM has overcome shortcomings of existing meshfree methods and is able to accommodate various kinds of strong discontinuities including large density ratio, from which we see that PECM has an excellent robustness and a high accuracy.

Pages: 19 to 24

Copyright: Copyright (c) IARIA, 2019

Publication date: September 22, 2019

Published in: conference

ISSN: 2308-4499

ISBN: 978-1-61208-737-5

Location: Porto, Portugal

Dates: from September 22, 2019 to September 26, 2019