Published 2020 | Version v1
Book Metadata-only

Numerical solution of the two-dimensional nonlinear heat conductivity problem on moving grids

Creators

  • 1. Natsional'nyj Issledovatel'skij Yadernyj Univ. «MIFI», Moscow (Russian Federation)

Description

For the numerical solving of the two-dimensional nonlinear heat conduction problem a transition to a moving coordinate system is used. The local speed of the latter is chosen in such a way that the process under study in it is close to stationary. Such a choice of the coordinate system leads to a concentration of grid nodes near the solution features. This allows to improve the quality of the obtained numerical solution with a small number of computational grid nodes. The numerical algorithm is tested on the heat wave propagation problem, which has an exact solution

Abstract (Russian)

Для численного решения двумерной задачи нелинейной теплопроводности используется переход в подвижную систему координат. Локальная скорость последней выбирается таким образом, чтобы исследуемый процесс в ней был близок к стационарному. Такой выбор системы координат приводит к сгущению расчетной сетки вблизи особенностей решения. Это позволяет улучшить качество получаемого численного решения при малом количестве узлов расчетной сетки. Численный алгоритм протестирован на задаче о распространении тепловой волны по нулевому фону, имеющей точное решение
Part of:
VI International conference «Laser, plasma research and technologies – LaPlaz-2020». Collection of scientific papers. Part 1

Additional details

Additional titles

Original title (Russian)
Численное решение двумерной задачи нелинейной теплопроводности на подвижных сетках

Publishing Information

Publisher
NIYaU MIFI
Imprint Place
Moscow (Russian Federation)
ISBN
978-5-7262-2655-2
Imprint Title
VI International conference #Left-Pointing Double Angle Quotation Mark#Laser, plasma research and technologies #En Dash# LaPlaz-2020#Right-Pointing Double Angle Quotation Mark#. Collection of scientific papers. Part 1
Imprint Pagination
463 p.
Journal Page Range
p. 143-144

Conference

Title
International Conference on Laser, Plasma Research and Technologies
Original Conference Title
VI Mezhdunarodnaya konferentsiya «Lazernye, plazmennye issledovaniya i tekhnologii – LaPlaz-2020»
Acronym
LaPlas 2020
Dates
11-14 Feb 2020
Place
Moscow (Russian Federation)

INIS

Country of Publication
Russian Federation
Country of Input or Organization
Russian Federation
INIS RN
53056553
Subject category
S42: ENGINEERING; S97: MATHEMATICAL METHODS AND COMPUTING;
Resource subtype / Literary indicator
Conference, Numerical Data
Descriptors DEI
BOUNDARY-VALUE PROBLEMS; FINITE DIFFERENCE METHOD; HEAT TRANSFER; MESH GENERATION; NONLINEAR PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; THEORETICAL DATA
Descriptors DEC
CALCULATION METHODS; DATA; DIFFERENTIAL EQUATIONS; ENERGY TRANSFER; EQUATIONS; INFORMATION; ITERATIVE METHODS; MATHEMATICAL SOLUTIONS; NUMERICAL DATA; NUMERICAL SOLUTION

Optional Information

Notes
3 refs. Imprint:VI Mezhdunarodnaya konferentsiya #Left-Pointing Double Angle Quotation Mark#Lazernye, plazmennye issledovaniya i tekhnologii #En Dash# LaPlaz-2020#Right-Pointing Double Angle Quotation Mark#. Sbornik nauchnykh trudov. Chast' 1