• Acta Physica Sinica
  • Vol. 69, Issue 8, 080202-1 (2020)
Jin-Lian Ren, Rong-Rong Jiang, Wei-Gang Lu, and Tao Jiang1、1、*
Author Affiliations
  • 1School of Hydraulic Science and Engineering, Yangzhou University, Yangzhou 225002, China
  • 1School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China
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    DOI: 10.7498/aps.69.20191829 Cite this Article
    Jin-Lian Ren, Rong-Rong Jiang, Wei-Gang Lu, Tao Jiang. Simulation of nonlinear Cahn-Hilliard equation based on local refinement pure meshless method[J]. Acta Physica Sinica, 2020, 69(8): 080202-1 Copy Citation Text show less
    References

    [1] Wodo O, Ganapathysubramanian B[J]. J. Comput. Phys., 230, 6037(2011).

    [2] Gómez H, Calo V M, Bazilevs Y, Hughes T J R[J]. Comput. Meth. Appl. Mech. Eng., 197, 4333(2008).

    [3] Kästner M, Metsch P, DeBorst R[J]. J. Comput. Phys., 305, 360(2016).

    [4] Guo J. Wang C, Wise S M, Yue X Y[J]. Commun. Math. Sci, 14, 489(2016).

    [5] Cahn J W, Hilliard J E[J]. J. Chem. Phys., 28, 258(1958).

    [6] Wang W S, Chen L, Zhou J[J]. J. Sci. Comput., 67, 724(2016).

    [7] Lu B N, Zhang R F[J]. J. Eng. Math., 14, 52(1997).

    [8] Furihata D[J]. Numer. Math., 87, 675(2001).

    [9] Zhu J Z, Chen L Q, Shen J, Tikare V[J]. Phys. Rev. E, 60, 3564(1999).

    [10] Choi Y, Jeong D, Kim J[J]. Appl. Math. Comput., 293, 320(2017).

    [11] Dehghan M, Mohammadi V[J]. Eng. Anal. Boundary Elem., 51, 74(2015).

    [12] He Y N, Liu Y X, Tang T[J]. Appl. Numer. Math., 57, 616(2007).

    [13] Dehghan M, Abbaszadeh M[J]. Eng. Anal. Boundary Elem., 78, 49(2017).

    [14] Ye X D, Cheng X L[J]. Appl. Math. Comput., 171, 345(2005).

    [15] , Filho O T D[J]. Physica A, 347, 429(2005).

    [16] Chen R Y, Pan W L, Zhang J Q, Nie L R[J]. Chaos, 26, 093113(2016).

    [17] Chen R Y, Nie L R, Chen C Y[J]. Chaos, 28, 053115(2018).

    [18] Chen R Y, Nie L R, Chen C Y, Wang C J[J]. J. Stat.Mech: Theory Exp., 2017, 013201(2017).

    [19] Chen C Y, Chen R Y, Nie L R, Wang C J, Jia Y J[J]. Physica A, 491, 399(2018).

    [20] Abbaszadeh M, Khodadadian A, Parvizi M, Dehghan M, Heitzinger C[J]. Eng. Anal. Boundary Elem., 98, 253(2019).

    [21] Zhang Z R, Qiao Z H[J]. Commun. Comput. Phys., 11, 1261(2012).

    [22] Cheng R J, Cheng Y M[J]. Chin. Phys. B, 25, 020203(2016).

    [23] Liu G R, Liu M B[J]. Smoothed Particle Hydrodynamics: A  Mesh-free  Particle  Method, 35-83(2003).

    [24] Yang X F, Liu M B[J]. Commun. Comput. Phys., 22, 1015(2017).

    [25] Yang X F, Liu M B[J]. Acta Phys. Sin., 66, 164701(2017).

    [26] Sun P N, Colagrossi A, Marrone S, Zhang A M[J]. Comput. Meth. Appl. Mech. Eng., 315, 25(2017).

    [27] Jiang T, Huang J J, Lu L G, Ren J L[J]. Acta Phys. Sin., 68, 090203(2019).

    [28] Suchde P, Kuhnert J, Tiwari S[J]. Comput. Fluids, 165, 1(2018).

    [29] Resédiz-Flores E O, Kuhnert J, Saucedo-Zendejo F R[J]. Eur. J. Appl. Math., 29, 450(2018).

    [30] Resendiz-Flores E O, Garcia-Calvillo I D[J]. Int. J. Heat Mass Transfer, 71, 720(2014).

    [31] Ren J L, Ren H F, Lu W G, Jiang T[J]. Acta Phys. Sin., 68, 140203(2019).

    Jin-Lian Ren, Rong-Rong Jiang, Wei-Gang Lu, Tao Jiang. Simulation of nonlinear Cahn-Hilliard equation based on local refinement pure meshless method[J]. Acta Physica Sinica, 2020, 69(8): 080202-1
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