Heat conduction is quite common in natural, industrial, and military
applications. In this work, the updated Lagrangian particle hydrodynamics
(ULPH) theory, is utilized and applied to solve heat conduction problems. Since
heat conduction is a second-order problem, the high-order ULPH theory is
employed to establish the governing equations of heat conduction in ULPH, which
is then validated using various numerical simulations. In this work, numerical
simulations have been carried out to solve both static heat conduction problems
and dynamic heat convection problems. The results show good accuracy and
capability of the ULPH heat conduction model, suggesting promising prospects of
the ULPH theory in multiphysics problems. The findings of this paper suggest
that ULPH is effective in addressing convective heat transfer problems.Comment: 16 pages, 12 figures, original research articl