No abstract

This paper describes the development of a high-performance application for representing twodimensional and three-dimensional results of numerical calculations in graphical form. Two visualization modules developed on the basis of different methods for translating a three-dimensional model into a twodimensional image are compared. Vulcan technologies and rasterization and Ray Tracing algorithms are used for model visualization, and comparative analyses of the operation of two applications in different conditions are performed. The developed visualization modules can be used to display the results of numerical mathematical modeling on three-dimensional grids.

In this work, a high-performance application for visualization of large-size grid models (about a million cells) with using of Vulkan technologies was developed. Vulkan is a new software interface (API) which controls the graphic processor (GPU). Vulkan became a low-level API, thanks to which the entire GPU capability was used, such as memory and synchronization control, error checking, creation of commands performed by graphic processor, etc. Thus it shows high performance with less load on the CPU. For the operation of the application without interruption, double buffering of vertex buffer and multi-threading of the processor was used. The results of each 100th iteration of the Jacobi method for solving the Poisson's equation, namely data of each iteration, were taken for the 2D and 3D model visualization. Using of the above given methods, grid model examples are given. As a result of this work, a prototype of a visualizer was developed and presented, and it can be used for any results of numerical mathematical modeling on structured and unstructured 3D grids.