In recent years, many researchers have used the Navier-Stokes equations and Reaction-Diffusion systems for fluid simulation and for the creation of textures on surfaces, respectively. For this purpose it is necessary to obtain information about operators defined on surfaces. We obtained the metric information of the distortion caused by the parametrization of Catmull-Clark subdivision surfaces. […]

April 20, 2015 by hgpu

Navier-Stokes Equations are a mathematical model to describe the behaviour of fluids. They have proven to represent real fluid flows quite well and are base for many fluid simulations. In order to exploit the performance provided by modern many-core systems, fluid simulation algorithms must be able to efficiently solve the Navier-Stokes Equations in parallel. The […]

October 11, 2014 by hgpu

This paper describes a hybrid multicore/GPU solver for the incompressible Navier-Stokes equations with constant coefficients, discretized by the finite difference method. By applying the prediction-projection method, the Navier-Stokes equations are transformed into a combination of Helmholtzlike and Poisson equations for which we describe efficient solvers. As an extension of our previous paper [1], this paper […]

September 4, 2014 by hgpu

Viscothermal effects in air lead to a damping of high frequencies over time. Such effects cannot be neglected in large-scale room acoustics simulations for the full audible bandwidth. In this study, full-bandwidth room acoustics is modelled using a variant of the three-dimensional wave equation including viscothermal losses in air following from a simplification of the […]

July 28, 2014 by hgpu

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 […]

July 20, 2014 by hgpu

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.

May 2, 2014 by hgpu

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 […]

March 17, 2014 by hgpu

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 […]

December 6, 2013 by hgpu

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 […]

October 19, 2013 by hgpu

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, […]

October 12, 2013 by hgpu

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 […]

October 9, 2013 by hgpu

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 […]

September 13, 2013 by hgpu