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Christian Lundell
This thesis work presents a new algorithm for simulating fluid based on the Navier-Stokes equations. The algorithm is designed for cell based sandbox games where interactivity and performance are the main priorities. The algorithm enforces mass conservation conservatively instead of enforcing a divergence free velocity field. A global scale pressure model that simulates hydrostatic pressure […]
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Si Wen
Paper marbling is the art of creating intricate designs on an aqueous surface. We present an interactive digital marbling system by simulating fluid dynamics on the GPU using precomputed solutions to the Navier-Stokes equations. Experimental results have shown that our approach is not only significantly faster, but also sufficiently accurate compared to existing approaches.
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Florencio Balboa Usabiaga
This thesis is devoted to the development of efficient numerical solvers for fluctuating hydrodynamics, in particular, for flows with immersed particles. In the first part of the thesis we develop numerical solvers able to work in a broad number of flow regimes with a high computational performance. To derive thermodynamically consistent set of equations in […]
Freddie D Witherden, Antony M Farrington, Peter E Vincent
High-order numerical methods for unstructured grids combine the superior accuracy of high-order spectral or finite difference methods with the geometric flexibility of low-order finite volume or finite element schemes. The Flux Reconstruction (FR) approach unifies various high-order schemes for unstructured grids within a single framework. Additionally, the FR approach exhibits a significant degree of element […]
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Niklas Karlsson
Graphics Processing Units (GPUs) have emerged as highly capable computational accelerators for scientific and engineering applications. Many reports claim orders of magnitude of speedup compared to traditional Central Processing Units (CPUs), and the interest for GPU computation is high in the computational world. In this thesis, the capability of using GPUs to accelerate the full […]
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Ricardo Canelas, Jose M. Dominguez, Rui M. L. Ferreira
The interaction of flows and solid objects is a recurring problem in several engineering disciplines. The objective of this work is to present a fully coupled model, based on the fundamental conservation laws of hydrodynamics, namely the continuity and Navier-Stokes equations, and the equation of conservation of momentum of solid bodies. The coupled numerical solution, […]
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M. Emmett, W. Zhang, J. B. Bell
In this paper we describe a numerical algorithm for integrating the multicomponent, reacting, compressible Navier-Stokes equations, targeted for direct numerical simulation of combustion phenomena. The algorithm addresses two shortcomings of previous methods. First, it incorporates an eighth-order narrow stencil approximation of diffusive terms that reduces the communication compared to existing methods and removes the need […]
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Kyle E Niemeyer, Chih-Jen Sung
The progress made in accelerating simulations of fluid flow using GPUs, and the challenges that remain, are surveyed. The review first provides an introduction to GPU computing and programming, and discusses various considerations for improved performance. Case studies comparing the performance of CPU- and GPU- based solvers for the Laplace and incompressible Navier-Stokes equations are […]
Jiansong Wu, Hui Zhang, Robert A. Dalrymple
For the fast transient dam break flooding with floating bodies presented through intricate city layouts, the traditional grid-based method based on solving two dimensional (2D) Shallow Water Equations or three dimensional (3D) Reynolds-averaged Navier-Stokes equations have difficulty in modelling the 3D unsteady flow features and the moving objects in the flow, causing inaccuracies. In this […]
Santiago D. Costarelli, Mario A. Storti, Rodrigo R. Paz, Lisandro D. Dalcin, Sergio A. Idelshon
A CUDA implementation of the 3D viscous incompressible Navier-Stokes equations is proposed using as advection operator the BFECC (Back and Forth Error Compensation and Correction) scheme. The Poisson problem for pressure is solved with a CG (Conjugated Gradient) preconditioning the system with FFTs (Fast Fourier Transforms). Study cases such as Lid-Driven Cavity and Flow Past […]
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Masakazu Gesho,
This thesis conducts a number of numerical experiments using massively parallel GPU computations to study a new continuous data assimilation algorithm. We test the algorithm on two-dimensional incompressible fluid flows given by the Navier-Stokes equations. In this context, observations of the Eulerian velocity field given at a finite resolution of nodal points in space may […]
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Jordan Thistle
In this research, a numerical algorithm was developed to solve the incompressible Navier-Stokes equations using explicit time stepping. The goal of this research was to develop an unsteady SIMPLER based algorithm with lower computational overhead. The new explicit algorithm uses a four stage Runge-Kutta scheme to update the velocities and eliminates the need for the […]
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