Kode Matakuliah :PAP545
Jumlah SKS :2
Tujuan:
Mahasiswa dapat memiliki pengetahuan mendalam tentang dasar matematika dari pendekatan yang berbeda terhadap pemodelan sistem fisis. Mahasiswa memiliki pengetahuan mendalam tentang model fenomena fisik yang dipilih dan mampu merumuskan model matematis dari masalah fisik yang kompleks dengan menggunakan prinsip Fisika yang tepat. Mahasiswa dapat mengembangkan dan menganalisa secara rinci dan kritis model matematis yang canggih.
Sinopsis
Dynamic and static models, stationary and non-stationary models, models with lumped and distributed parameters. Design a variety of computational grids. Defining the boundary and initial conditions. The simplifications used in the modeling (reduced dimensions, neglecting insignificant factors, etc.). Stages of numerical modeling. Physical model. Computational model. A mathematical model. Calibration and scaling of the model. The calculation and verification of the results. Selection of the numerical algorithm for solving the phenomenon (numerical stability, the stability criteria). Forward and inverse modeling (optimization). Applications and limitations of methods: Finite differences, Finite Element, Monte Carlo. Modelling of physical processes: Distribution of stress, deformation; Transport processes (heat, diffusion, advection, convection, etc.); Phase transitions, Energy balance, Modelling of environmental components: atmosphere, soil-atmosphere interface, rivers and lakes,oceans, groundwater systems. Contour mapping, dan fraktal fisika batuan..
Buku Acuan:
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- Sportisse B., Air Pollution Modelling and Simulation. Springer 2002.
- Walker J.C.G. Numerical Advantures with Geochemical Cycles. Oxford niversity Press, 1991.
- Praca zbiorowa, Use of Isotopes for Analyses of Flow and Transport Dynamics in Groundwater Systems. IAEA Tech-Doc
- Blackadar A.K., Turbulence and Diffusion in the Atmosphere. Springer 1997.
- Wells N., The atmosphere and Ocean. John Willey & Sons, 1999.
- Carey G.F., Finite Element Modeling of Environmental Problems. Surfce and Subsurface Flow. Wiley, 1995.
- Griebel M., Knapek S., Zumbusch G. Numerical Simulation in Molecular Dynamics. Springer 2007.
