COMPUTATIONAL FLUID DYNAMIC SOLVER FOR WAVE PROPAGATION USING FINITE VOLUME ON A STAGGERED GRID
Computational Fluid Dynamics is one of the Mathematics Branch that explains the motions of continuous fluids through computer simulations. Mathematically, Fluid Dynamics can be formulated with Navier-Stokes Equation. This thesis research will be using another approach to simulate Fluid Dynamics p...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/49391 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Computational Fluid Dynamics is one of the Mathematics Branch that explains the
motions of continuous fluids through computer simulations. Mathematically, Fluid
Dynamics can be formulated with Navier-Stokes Equation. This thesis research
will be using another approach to simulate Fluid Dynamics phenomenon numerically
using Shallow Water Equation, which is the simplification of Navier-Stokes
Equation, with assumptions that the phenomenon occurs on fluids that satisfy
shallow water characteristics.
On this thesis book, the methods to simulate the will be explained thoroughly and
step-by-step, using Finite Volume Method on a Staggered Grid. This thesis also
introduces numerical simulation from the simplest case, and will be extended into
more sophisticated case. This thesis book also discuss the alternative approach
to simulate fluids that does not satisfy shallow water characteristics or does not
follow Hydrostatic pressure condition, by introducing pressure factor as a function
of position and time.
Several phenomena will be used in order to verify simulation results that was built
from numerical scheme based on either analytical solution or experimental data. In
addition, these numerical scheme will be implemented on MATLAB and Python, in
order to compare their efficiency in terms of its elapsed runtime. |
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