SIMULASI NUMERIK RAYLEIGH-TAYLOR INSTABILITY MENGGUNAKAN METODE RADIAL BASIS FUNCTIONS

MICHAEL SANJAYA JONATAN, Deendarlianto, S.T., M.Eng., Dr.

2019 | Skripsi | S1 TEKNIK MESIN

Dua jenis aliran fluida dengan massa jenis berbeda yang bersifat incompressible, tidak bercampur, viscous, dan unsteady diformulasikan dengan persamaan Navier-Stokes-Cahn-Hilliard dua-dimensi yang didiskretisasi secara semi-implisit. Kasus Rayleigh-Taylor Instability diformulasikan dengan metode phase-field. Hasil numerik diperoleh melalui metode meshless yaitu Radial Basis Function dengan rekayasa komputasi Domain Decompostion Method. Pendekatan baru yang mendukung metode meshless adalah pemakaian kondisi batas periodik. Perbandingan dengan hasil numerik metode beda hingga disajikan sebagai validasi.

We consider two different-density incompressible, immiscible, viscous, and unsteady fluid flows governed by the two-dimensional Navier-Stokes-Cahn-Hilliard equation which is solved by semi-implicit discretization. Rayleigh-Taylor Instability problem is formulated by phase-field method. Numerical results are solved by Radial Basis Function meshless method, with the help of Domain Decomposition method as a computing tool. The novel approach supporting the meshless method is about the use of periodic boundary condition. Our results are compared with previous finite difference method numerical solutions as a way of validation.

Kata Kunci : Rayleigh-Taylor Instability, Radial Basis Function, phase-field, kondisi batas periodik