Navier-Stokes equationsparallel systemsflow fieldhierarchyparallel splitthree-dimensional flowsA new general approach for numerically computing flow fields on parallel computing environments is presented, discu
Hung TK, Brown TD. An implicit ynite-di erence method for solving the Navier-Stokes equations using orthogonal curvilinear coordinates. Journal of Computational Physics 1977; 23:343-363.An implicit finite-difference method for solving the Navier-Stokes equation using orthogonal curvilinear coordinates ...
The method of approximate particular solutions in terms of its global formulation is developed and implemented to solve the two-dimensional Navier–Stokes system of equations for incompressible Newtonian fluids numerically. The fluid velocity and pressure fields are approximated by a linear superposition of...
To numerically solve this PDE, we first discretize it into a set of finite-difference equations by replacing partial derivatives with central differences. A central-difference approximation can be derived from the Taylor expansion, shown in Equation 44-4. The equation shows first-or...
Because the Navier-Stokes equation is a high-index differential algebraic equation, options are specified to time-integrate the equations efficiently. The maximum difference order of the time integrator is reduced to minimize the number of rejected steps. The time-dependent boundary conditions are diffe...
Other numerical techniques use a semi-Lagrangian approach for solving advection dominated PDEs on static and moving surfaces, as well as the Navier- Stokes equation [1, 2]. However, the authors did not provide any convergence analysis of the methods or the conservation of the mass and momentum...
Newtonian fluids described by Navier Stokes equations are extensively studied in the literature for the past few decades. The unsteady free flow of a Casson fluid over an oscillating vertical plate with constant wall temperature has been studied. The Casson fluid model is used to distinguish the no...
Recently, a quantum algorithm for solving partial differential equations (PDE) has been introduced which was applied to the Navier–Stokes (NS) equations of fluid dynamics [8]. The resulting quantum algorithm was tested on a steady-state, inviscid, compressible nozzle flow problem which allows for...
In the limit of vanishing viscosity, the Navier-Stokes equations lead to a fundamentally different set of solutions than the zero viscosity case, known as the Euler solutions which generally contain discontinuities. The infinite domain cases of 2-D flows past a cylinder and 3-D flows past a ...
Meshless method GPU computing Multi-layered point reordering Shared memory access tuning Compressible turbulent flows Reynolds-averaged Navier–Stokes equations 1. Introduction With the advent of high-performance graphics processing unit (GPU) computing technology, GPU accelerations for numerical methods have ...