Temat: interval arithmetic - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Modelling of biological tissue damage process with application of interval arithmetic
Autorzy:: Korczak, Anna
Jasiński, Marek
Powiązania:: https://bibliotekanauki.pl/articles/279929.pdf
Data publikacji:: 2019
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: directed interval arithmetic
bioheat transfer
optical diffusion equation
Arrhenius scheme
Opis:: In the paper, the numerical analysis of thermal processes proceeding in a 2D soft biological tissue subjected to laser irradiation is presented. The transient heat transfer is described by the bioheat transfer equation in Pennes formulation. The internal heat source resulting from the laser-tissue interaction based on the solution of the diffusion equation is taken into account. Thermophysical and optical parameters of the tissue are assumed as directed intervals numbers. At the stage of numerical realization. the interval finite difference method has been applied. In the final part of the paper, the results obtained are shown.
Źródło:: Journal of Theoretical and Applied Mechanics; 2019, 57, 1; 249-261
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Application of the interval Lattice Boltzmann method for a numerical modeling of 2D thin metal films irradiated by ultrashort laser pulses
Autorzy:: Piasecka-Belkhayat, Alicja
Korczak, Anna
Powiązania:: https://bibliotekanauki.pl/articles/122840.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: lattice Boltzmann method
interval arithmetic
laser irradiation
heat transfer
metoda kratowa Boltzmanna
arytmetyka przedziałowa
promieniowanie laserowe
przenikanie ciepła
Opis:: In the paper, the two-dimensional numerical modelling of heat transfer in thin metal films irradiated by ultrashort laser pulses using the D2Q9 scheme is considered. In the mathematical description, the relaxation times and the boundary conditions for phonons and electrons are given as interval numbers. The problem has been formulated using the interval coupled lattice Boltzmann equations for electrons and phonons. The solution has been obtained by means of the interval lattice Boltzmann method using the rules of directed interval arithmetic. Examples of numerical computations are presented in the final part of the paper.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 4; 63-71
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

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