TY - JOUR
T1 - An adaptive finite element method for simulating surface tension with the gradient theory of fluid interfaces
AU - Kou, Jisheng
AU - Sun, Shuyu
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work is support by the Key Project of Chinese Ministry of Education (No. 212109) and the Scientific and Technical Research Project of Hubei Provincial Department of Education (No. D20132701). The authors also cheerfully appreciate the generous support of the university research fund to the Computational Transport Phenomena Laboratory at KAUST.
PY - 2014/1
Y1 - 2014/1
N2 - The gradient theory for the surface tension of simple fluids and mixtures is rigorously analyzed based on mathematical theory. The finite element approximation of surface tension is developed and analyzed, and moreover, an adaptive finite element method based on a physical-based estimator is proposed and it can be coupled efficiently with Newton's method as well. The numerical tests are carried out both to verify the proposed theory and to demonstrate the efficiency of the proposed method. © 2013 Elsevier B.V. All rights reserved.
AB - The gradient theory for the surface tension of simple fluids and mixtures is rigorously analyzed based on mathematical theory. The finite element approximation of surface tension is developed and analyzed, and moreover, an adaptive finite element method based on a physical-based estimator is proposed and it can be coupled efficiently with Newton's method as well. The numerical tests are carried out both to verify the proposed theory and to demonstrate the efficiency of the proposed method. © 2013 Elsevier B.V. All rights reserved.
UR - http://hdl.handle.net/10754/563276
UR - https://linkinghub.elsevier.com/retrieve/pii/S0377042713003154
UR - http://www.scopus.com/inward/record.url?scp=84880067355&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2013.06.017
DO - 10.1016/j.cam.2013.06.017
M3 - Article
SN - 0377-0427
VL - 255
SP - 593
EP - 604
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
ER -