Rekonstruksi Permukaan Bebas Fluida Menggunakan Metode Volume of Fluid

Abstract

Fluid is a substance that changes shape and position when exposed to shear stress. The domain of the fluid can change along with changing the shape of the surface. This boundary is called the free surface boundary. We expressed the fluid flow problems involving free surfaces as partial differential equations. In solving this problem, certain techniques are needed, one of which is numerical, if the exact solution cannot be determined. This study examines the modelling of the free surface of the fluid and its solution numerically using the Volume of Fluid (VOF) method. Modelling fluid flow problems with a free surface, in general, begins by using the law of the conservation of mass and the law of the conservation of momentum, which produces the Navier-Stokes equation. The fluid is assumed to be incompressible. This study uses the VOF method with the Parker and Young algorithm to solve the free surface boundary problem. The surface of the fluid is described as a semicircle with a radius of 1 and a grid size of 10 × 5. We divide the boundary of the fluid into 14 partitions, then the area of each grid is determined, and the slope of the line is found on the partition through the four sur-rounding grid values. Henceforth, we obtained the equation of the line for each partition. We get a piecewise function from the calculation with an average error of 0.01459715.