Penggunaan metode interpolasi polinomial untuk mendapatkan ketelitian tinggi dalam penyelesaian persamaan transpor
| Main Author: | Perpustakaan UGM, i-lib |
|---|---|
| Format: | Article NonPeerReviewed |
| Terbitan: |
[Yogyakarta] : Universitas Gadjah Mada
, 2001
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| Subjects: | |
| Online Access: |
https://repository.ugm.ac.id/18386/ http://i-lib.ugm.ac.id/jurnal/download.php?dataId=1171 |
Daftar Isi:
- The hydrodynamic process of dispersion is the interaction between differential convection and turbulent diffusion. The numerical solution of the one-dimensional dispersion equation must be approached with a great deal of care. It is not difficult to formulate a solution of diffusion term, but most difference methods for the calculation of the convection portion are plagued by an artificial or numerical diffusion, which is sometimes stronger than the physical diffiision. The problems of numerical diffiision lead to develop more accurate method. The basis of the method is that we follow the trajectory leading to point (1+1) at time (n+1) back to point at time n. The concentration C(n) is found by interpolation using a polynomial interpolation constructed from the points around. In the study we used the first, second, and third order polynomial interpolation. Application of the method shows that the case I, in which the Courant number (Cr) is an integer value, reproduces pure convection with no artificial diffusion. For the Courant number Cr = 0.75, 0.5 and 0.25 the third order introduces very little numerical diffusion, while the first order introduces strong numerical diffiision. The second order gives a good result for Cr = 0.75 and Cr = 0.5. Key Words: numerical diffusion - physical diffusion - polynominal interpolation