1.6.1 Convection and diffusion of a temperature pulse

Product: ABAQUS/Standard  

The convective/diffusive heat transfer elements in ABAQUS are intended for use in thermal problems involving heat transfer in a flowing fluid so that heat is transported (convected) by the velocity of the fluid and, at the same time, is diffused by conduction through the fluid and its surroundings. The elements utilize a Petrov-Galerkin finite element formulation (an “upwinding” method) and can also include numerical dispersion control. The techniques used in these elements are described in Convection/diffusion, Section 2.11.3 of the ABAQUS Theory Manual. The elements are typically used in conjunction with purely diffusive heat transfer elements, connected directly, or through thermal interfaces used to represent boundary layer effects (film coefficients) between the fluid and the solid surface. They can also be used alone. The problems in this example involve the convective/diffusive elements alone and are used to illustrate the characteristics of these types of elements. The problem is the transport and diffusion of a temperature pulse in the form of a Gaussian wave. Variations of the problem are done in one and two dimensions. The problems are taken from the papers by Yu and Heinrich (1986, 1987).

Problem description

Results and discussion

Input files

References

Figures

Figure 1.6.1–1 One-dimensional convection/diffusion model problem (no upwinding).

Figure 1.6.1–2 One-dimensional convection/diffusion model problem (with upwinding).

Figure 1.6.1–3 One-dimensional convection/diffusion model problem (with upwinding and numerical dispersion control).

Figure 1.6.1–4 One-dimensional convection/diffusion model problem: wave leaving mesh.

Figure 1.6.1–5 Two-dimensional skewed transport model problem (no upwinding).

Figure 1.6.1–6 Two-dimensional skewed transport model problem (with upwinding).