int nn = 20; // Mesh quality
int[int] labs = [1, 2, 2, 1, 1, 2]; // Label numbering
mesh3 Th = cube(nn, nn, nn, label=labs);
// Remove the ]0.5,1[^3 domain of the cube
Th = trunc(Th, (x < 0.5) | (y < 0.5) | (z < 0.5), label=1);
fespace Vh(Th, P1);
Vh u, v;
macro Grad(u) [dx(u), dy(u), dz(u)] //
// Define the weak form and solve
solve Poisson(u, v, solver=CG)
Grad(u)' * Grad(v)
1 * v
+ on(1, u=0)
A high level multiphysics finite element software
FreeFEM offers a fast interpolation algorithm and a language for the manipulation of data on multiple meshes.
September 05, 2019 | S.Ye. Donets, V.F. Klepikov, V.V. Lytvynenko, E.M. Prokhorenko, O.A. Startsev, Yu.F. Lonin, A.G. Ponomarev, V.T. Uvarov, R.I. Starovoytov
Titanium VT22 alloy was irradiated in the TEMP-A accelerator with the high current electron beam with the en-ergy of 350 keV, beam current of 2 kA, pulse length around 5μs, and beam diameter of 45 mm. The irradiation was performed for three samples with 1 to 3 pulses separately. Numeric simulations of the temperature distributions in the targets were conducted using the thermoelastic ablation model. The microstructural and mechanical properties of the irradiated alloy were studied using microhardness testing, metallography and fractography analysis.
September 05, 2019 | M.I. Bazaleev, V.V. Bryukhovetsky, S.Ye. Donets, V.F. Klepikov, V.V. Lytvynenko, E.M. Prokhorenko, O.A. Startsev, Yu.F. Lonin, A.G. Ponomarev, V.T. Uvarov
Structural integrity of the gas turbine blades is of great concern. A set of methods and instruments is proposed to study the problems of the test loading of the industrial turbine blades. The approach aims to model the possible high-temperature, shock and irradiation impacts. The test loading is performed using the high-current relativistic electron beam. The developed methodology can be used for test and identification trails of the turbine blades. The experi-mental bench is designed to assist the thermographic measurements of the temperature dynamics in the blades. It also comprises the corresponding algorithms and software to perform the necessary calculations with.
September 02, 2019 | J Li, H Zheng, Q Zou
In this paper, we develop the lower order stabilized finite element methods for the incompressible flow with the slip boundary conditions of friction type whose weak solution satisfies a variational inequality. The 𝐻1-norm for the velocity and the 𝐿2-norm for the pressure decrease with optimal convergence order. The reliable and efficient a posteriori error estimates are also derived. Finally, numerical experiments are presented to validate the theoretical results.