Numerous heating and cooling design methods, including energy storage, geothermal
resources, heaters, solar collectors, underground water movement, lakes, and nuclear …

In this paper, we are interested in high-order algorithms for time discretization and focus
upon the high-order implicit/explicit algorithm designs. Five high-order unconditionally …

This paper presents the effects of aspect ratio (0.1≤ AR≤ 0.7), Rayleigh number (10 2≤ R
a≤ 10 6) and inclination angle 0°≤ γ≤ 90° of the heated rectangular cylinder on heat …

This paper focuses on the design of an accurate and versatile A-posteriori error estimation
and adaptive time stepping for general composite schemes and typical of the implicit ρ∞ …

Abstract The “Generalized Single Step Single Solve” framework for first-order transient
systems (GS4-1) is considered to develop adaptive time stepping via a newly proposed a …

This paper presents a novel numerical framework based on the accurate spectral element
method (SEM) for electro-thermo-hydrodynamics (ETHD), in which the coupled electric, flow …

Particulate flows are frequently observed in both industrial and natural environments, and
their simulation becomes particularly challenging when heat transfer is involved. This study …

In this article, we present a spectral element method for numerical solution of linear Volterra
integro-differential equations with boundary conditions. First, we obtain discrete form of the …

The motivation in this article is to foster and conduct an in-depth investigation on reduced-
order modeling (ROM) techniques via proper orthogonal decomposition (POD) and discrete …

Heat transfer process significantly affects the life span of gun barrels as it directly associates
to the thermoelastic dynamic responses, erosion, and wears of gun barrels. The previous …