Primjeri korištenja Computational mesh na Engleski i njihovi prijevodi na Hrvatskom
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Bubble shaped computational mesh.
Let the computational mesh in 3D space be orthogonal and hexahedral.
Mathematical model of computational mesh.
Detail of computational mesh near pipeline and penoplex.
Question: Why do we need such large computational meshes?
The computational mesh module, developed for 64-bit CPU architecture, is now based on.
This leads to the creation of a computational mesh in the order of 10 million nodes.
According to designations, the following set of points is the set nodes of computational mesh.
The increase in the cell size in irregular computational meshes needs to be very smooth;
The computational mesh on which the calculation was performed contained 17 828 087 spatial nodes.
Let's analyze a cylinder that constitutes a finite computational mesh with voxels.
Each computational mesh was computed on 1 core of Intel Core i7, 4 cores of Intel Core i7 and the GeForce GTX Titan video card.
How did you manage to create a computational mesh of 58 million cells in Frost 3D software?
Let the computational domain be a parallelepiped, and the computational mesh of nodes set.
Require increased computational mesh density, consequently significantly increasing the total amount of nodes in the computational domain.
Answer: The necessity for such large quantities of computational mesh nodes derives from the following factors.
The specific nature of the current problem- simulation of the ground thaw formation along a 500-meter section of the oil pipeline,1.2 meters in diameter- rendered a large computational mesh necessary.
Combining the equations, written for every node of the computational mesh, we obtain a system of linear algebraic equations.
Many software packages for numerical computations allow users to use a static adaptive(hereby referred to as adaptive)step in the construction of an orthogonal hexahedral structured computational mesh.
Note that even with the use of a non-uniform cell size(at irregular computational mesh), for example, we still need a lot of nodes.
Thus, in order to generate correctly a computational mesh it is necessary to solve the problem of intersections and overlapping of geometric objects(collision problem of geometric objects) manually, i.e.
After processing of all triangles from the set we consider the set for those cells faces of the initial computational mesh, all 4 edges of which are marked.
Answer: 32-bit versions of the software couldn't handle computational meshes like this due to the limitations of the operating system which can only address 4GB of RAM.
Question: Why not create a coarser mesh and reduce the number of elements by several times; therefore,you won't need such large computational meshes and the computation itself would be faster?
However, if it is known that the computational mechanism will be based on hexahedral computational mesh(finite element, finite difference numerical schemes), we can significantly speed up and automate the process of transporting correct geometrical objects to the computational mesh.
It means that the maximum acceleration on parallel architectures could be achieved on the simplest models with a uniform computational mesh and the minimum number of materials and boundary conditions.
Despite the fact that the computational complexity of the preprocessing phase is, and with the modification is added as well, it is necessary to consider that this is done only once andnot for each cell in the computational mesh.
Let us show, how it is possible to describe a configurationally complex computational mesh, consisted of voxels(bubble shaped), which are located on a sheet and twisted into cylinder.
Thus, in order to obtain a quality, detailed discretization of the pipeline while also taking into account both the complex geological-lithological structure of the grounds and the fine heat insulation material,we built a large computational mesh with 58.5 million nodes.
Numerical solution of the problem was implemented in Frost 3D Universal software, with a computational mesh of 58.5 million nodes, to predict ground thaw under the influence of the pipeline.