animation of ice melting phenomenon based on thermodynamics with thermal radiation
This paper proposes a fast and efficient method for producing physically based animations of the ice melting phenomenon, including thermal radiation as well as thermal diffusion and convective thermal transfer. Our method adopts a simple color function called the VOF (Volume-of-Fluid) with advection to track the free surface, which enables straightforward simulation of the phase changes, such as ic melting. Although advection of functions that vary abruptly, such as the step function, causes numerical problems, we have solved these by the RCIP (Rational-Constrained Interpolation Profile) method. We present an improvement to control numerical diffusion and to render anti-aliased surfaces. The method also introduces a technique analogous to photon mapping for calculating thermal radiation. By the photon mapping method tuned for heat calculation, the thermal radiation phenomenon in a scene is solved efficiently by storing thermal energy in each photon. Here, we report the results of several ice melting simulations produced by our method.
melting thermodynamics multi-phase fluid heat radiation dynamic fluid simulation