ULiege - Aerospace & Mechanical Engineering http://metafor.ltas.ulg.ac.be/dokuwiki/ 2026-08-24T01:39:21+00:00 http://metafor.ltas.ulg.ac.be/dokuwiki/ http://metafor.ltas.ulg.ac.be/dokuwiki/_media/logo.png text/html 2026-07-29T09:01:16+00:00 Anonymous (anonymous@undisclosed.example.com) http://metafor.ltas.ulg.ac.be/dokuwiki/doc/user/elements/boundaries/convection_pre3593?rev=1785315676&do=diff Convection (Metafor < v3593) page Materials Since pressure/shear interactions are boundary conditions interactions (LoadingInteraction), no materials must be associated to the element. Element Therefore, the first step consist in defining an ElementProperties, as prp = ElementProperties(typeEl) prp.put(param1, value1) prp.depend(param1, fct1, Lock1)) #optional ... text/html 2026-07-29T16:05:03+00:00 Anonymous (anonymous@undisclosed.example.com) http://metafor.ltas.ulg.ac.be/dokuwiki/doc/user/elements/boundaries/convection?rev=1785341103&do=diff Convection Material MR !167 page The Convection Materials are implemented to take into account the heat exchange by convection between the boundary of a mesh and the surrounding fluid atmosphere. They are designed to be associated with Tm(2)Boundary2D(3D)Element$x'$$y'$$z'$$flux = C (T_{fluid}-T)$$C$$T$$T_{fluid}$$flux = C (T_{fluid}-T)$$flux = 0.0$$kX$$kY$$C$$T$$T_{fluid}$$flux = C exp^{(-(\frac{x_l}{k_x})^2-(\frac{y_l}{k_y})^2)} (T_{fluid}-T)$$k_x$$k_y$$C$$x_l$$y_l$$k_x$$K_y$$T$$T_{fluid}$$f… text/html 2026-07-29T09:07:46+00:00 Anonymous (anonymous@undisclosed.example.com) http://metafor.ltas.ulg.ac.be/dokuwiki/doc/user/elements/boundaries/flux_pre3593?rev=1785316066&do=diff Heat Source/Flux (Metafor < v3593) page Heat source elements and heat flux boundary elements can be applied using special finite elements. As any finite element, their definition require an ElementProperty object and an Interaction (HeatInteraction) object. There are no $x'$$y'$$z'$$^2$$Q_{src}$$$ q = \frac{Q_{src}}{4a b}~~~\text{if } x'\in [-a,~a],~~ y'\in [-b,~b], $$$a$$b$$x'$$y'$$Q_{src}$$$ q = \frac{Q_{src} 6\sqrt{3}}{ab \pi^\frac{3}{2}}~ e^{-3\left(\frac{x'}{a}\right)^2}~ e^{-3\left(\fr… text/html 2026-07-29T18:13:06+00:00 Anonymous (anonymous@undisclosed.example.com) http://metafor.ltas.ulg.ac.be/dokuwiki/doc/user/elements/boundaries/flux?rev=1785348786&do=diff Heat Flux Material MR !167 page Heat Flux Materials are sources of heat that can be applied on boundary of a mesh (Tm(2)boundary2D(3D)Element) or on the mesh (Tm(2)boundary2D(3D)Element) according to the physic (or its model) of the heat source. Excepted to the $x'$$y'$$z'$$flux = Q$$Q$$flux = Q / vol$$flux = 0$$Q$$vol$$vol = c 2a 2b$$flux = Q \frac{6 \sqrt{3}}{a b c \pi sqrt{\pi}} exp^{(-xpart-ypart-zpart)}$$Q$$a$$b$$c$$xpart = 3(\frac{x'}{a})^2$$ypart = 3(\frac{y'}{b})^2$$zpart = 3(\frac{z'… text/html 2026-07-29T08:57:57+00:00 Anonymous (anonymous@undisclosed.example.com) http://metafor.ltas.ulg.ac.be/dokuwiki/doc/user/elements/boundaries/pressure_shear_pre3593?rev=1785315477&do=diff Pressure and shear (Metafor < v3593) page Pressure and shear boundary conditions can be applied using special finite elements defined on the boundary of the mesh. The geometry of these elements are lines in 2D corresponding to the boundary edges of the elements of the 2D mesh. In 3D, pressure elements are triangles or quads, depending of the shape of the facets of the elements of the mesh near the boundary.$\xi$$\eta$$\xi$$\eta$ text/html 2026-08-05T07:39:21+00:00 Anonymous (anonymous@undisclosed.example.com) http://metafor.ltas.ulg.ac.be/dokuwiki/doc/user/elements/boundaries/pressure_shear?rev=1785915561&do=diff Pressure and shear (Metafor > v3593) MR !167 page Pressure and shear boundary conditions can be applied using special finite elements defined on the boundary of the mesh. The geometry of these elements are lines in 2D corresponding to the boundary edges of the elements of the 2D mesh. In 3D, pressure elements are triangles or quads, depending of the shape of the facets of the elements of the mesh near the boundary.$\xi$$\eta$ text/html 2026-07-29T09:09:22+00:00 Anonymous (anonymous@undisclosed.example.com) http://metafor.ltas.ulg.ac.be/dokuwiki/doc/user/elements/boundaries/radiation_pre3593?rev=1785316162&do=diff Radiation (Metafor < v3593) page Materials Since radiation interactions are boundary conditions interactions (LoadingInteraction), no materials must be associated to the element. Element Therefore, the first step consist in defining an ElementProperties, as prp = ElementProperties(typeEl) prp.put(param1, value1) prp.depend(param1, fct1, Lock1)) #optional ...$ 5.67e^{-8} W/m^2K^4 $$ 5.67e^{-11} mW/mm^2K^4$$\epsilon = \frac{\epsilon_1 * \epsilon_2}{\epsilon_1 + \epsilon_2 - \epsilon_1 * \e… text/html 2026-07-30T06:56:17+00:00 Anonymous (anonymous@undisclosed.example.com) http://metafor.ltas.ulg.ac.be/dokuwiki/doc/user/elements/boundaries/radiation?rev=1785394577&do=diff Radiative Material MR !167 page RadiativeMaterial The RadiativeMaterial is implemented to take into account the heat exchange between the boundary of a mesh and the surrounding atmosphere (at uniform Temperature) without taking into account any view factor or self exchange between mesh.$flux = -\sigma \epsilon (T^4-T_{amb}^4)$$\sigma$$\epsilon$$T$$T_{amb}$$ 5.67e^{-8} W/m^2K^4 $$ 5.67e^{-11} mW/mm^2K^4$$\epsilon = \frac{\epsilon_1 * \epsilon_2}{\epsilon_1 + \epsilon_2 - \epsilon_1 * \epsilo… text/html 2026-08-20T09:14:49+00:00 Anonymous (anonymous@undisclosed.example.com) http://metafor.ltas.ulg.ac.be/dokuwiki/doc/user/elements/boundaries/thermal_boundary_elements?rev=1787217289&do=diff Thermal Load Elements (Metafor > v3593) Since MR167 (Metafor v3593), there are two kind of thermal load elements depending on whether the load is applied on the volume element (volumetric source) of on the boundary of the elements. All of them are implemented on the same framework and have the same options.