A graphics processing unit-accelerated meshless method for two-dimensional compressible flows

A Meshless Finite Difference Scheme for Compressible Potential Flows

A meshless solution algorithm for the full potential equation has been developed by applying the principles of the Taylor Least Squares (TLS) method. This method allows for a PDE to be discretized on a local cloud of scattered nodes without the need of connectivity data. The process for discretizing the full potential equation within a meshless framework is outlined along with a novel Hermite T...

A Two -Step Modification toward Implementing Compressible Source Terms in Low Compressible Flows

Graphics processing unit–accelerated finite-difference time-domain method for characterization of photonic crystal fibers

In the work, we have presented the technique based on the graphics processing unit accelerated finite-difference time-domain (FDTD) method for characterization of a single-mode photonic crystal fiber (PCF) with an arbitrary refractive index profile. In contrast to other numerical methods, the FDTD allows studying the mode propagation along the fiber. Particularly, we have focused attention on t...

Graphics processing unit accelerated computation of digital holograms.

An approximation for fast digital hologram generation is implemented on a central processing unit (CPU), a graphics processing unit (GPU), and a multi-GPU computational platform. The computational performance of the method on each platform is measured and compared. The computational speed on the GPU platform is much faster than on a CPU, and the algorithm could be further accelerated on a multi...

Gas-kinetic Bgk Method for Three-dimensional Compressible Flows

Gas-kinetic BGK scheme with symmetric limited positive (SLIP) method, which was developed by Xu and Jameson, is modified and extended to three-dimensional compressible flows for the first time. BGK scheme is an approximate Riemann solver that uses collisional Boltzmann equation as the governing equation for flow evolutions. To demonstrate the robustness and accuracy of the scheme, it is applied...