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This thesis explores the fictitious domain approach for direct numerical simulation of particulate flows, proposing a new formulation without Lagrange multipliers and validating it through various experimental setups.
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01
Identify the physical problem you want to simulate.
02
Choose the appropriate numerical method for your simulation.
03
Discretize the governing equations using a suitable grid or mesh.
04
Implement boundary conditions relevant to the physical scenario.
05
Select initial conditions for the simulation.
06
Run the simulation using suitable computational resources.
07
Validate the results against known solutions or experimental data.
08
Analyze the results to extract meaningful information.

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01
Researchers in fluid dynamics and computational physics.
02
Engineers designing systems involving complex fluid flows.
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Academics studying turbulence and related phenomena.
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05
Environmental scientists modeling atmospheric or oceanic processes.
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Direct numerical simulation (DNS) is a computational method used to solve fluid dynamics problems by directly solving the Navier-Stokes equations without any turbulence modeling.
Researchers and engineers working in fields that require detailed modeling of turbulent flows and fluid dynamics typically use DNS; it is not a filing requirement but a method of analysis.
To conduct DNS, one must set up computational models, discretize the domain, input boundary conditions, and run simulations using appropriate numerical methods and software.
The purpose of DNS is to provide high-fidelity simulations of fluid flows to better understand turbulence and validate models used in less resolved simulations.
Key information includes the numerical methods used, initial and boundary conditions, grid resolution, computational resources, and results of the simulation.
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