Nonlocal numerical simulation of thermoelectric coupling field by using peridynamic differential operator

Abstract This study developed a novel nonlocal numerical model based on the peridynamic differential operator to analyze the thermoelectric coupling field. The thermoelectric coupling equations and boundary conditions are transformed from the classical partial differential form to the nonlocal integral form. By introducing the peridynamic function, a one-dimensional nonlocal model is established. This model can accurately capture the spatial distributions of the temperature field and material parameters when considering temperature-dependent thermoelectric material parameters. The numerical solutions from this nonlocal peridynamic model were found to agree well with those from the homotopy analysis method. Using this model, the influence of temperature boundary conditions and structure length on output performance is studied. The intrinsic relationship between the material parameters and the output properties within the structure is revealed. This presented nonlocal model provides an accurate mathematical tool to solve the thermoelectric coupling field for thermoelectric structures performance analysis.