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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">25184</article-id><article-id pub-id-type="doi">10.22363/2658-4670-2020-28-4-398-405</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Numerical modeling of laser ablation of materials</article-title><trans-title-group xml:lang="ru"><trans-title>Численное моделирование лазерной абляции материалов</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Amirkhanov</surname><given-names>Ilkizar V.</given-names></name><name xml:lang="ru"><surname>Амирханов</surname><given-names>И. В.</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Physical and Mathematical Sciences, Head of Sector “Scientific Division of Computational Physics”. Laboratory of Information Technologies</p></bio><email>camir@jinr.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Sarker</surname><given-names>Nil R.</given-names></name><name xml:lang="ru"><surname>Саркер</surname><given-names>Н. Р.</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Physical and Mathematical Sciences, Senior Researcher “Scientific Division of Computational Physics”. Laboratory of Information Technologies</p></bio><email>sarker@jinr.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Sarkhadov</surname><given-names>Ibrohim</given-names></name><name xml:lang="ru"><surname>Сархадов</surname><given-names>И.</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Physical and Mathematical Sciences, Senior Researcher “Scientific Division of Computational Physics”. Laboratory of Information Technologies</p></bio><email>ibrohim@jinr.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Joint Institute for Nuclear Research</institution></aff><aff><institution xml:lang="ru">Объединённый институт ядерных исследований</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2020-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2020</year></pub-date><volume>28</volume><issue>4</issue><issue-title xml:lang="en">VOL 28, NO4 (2020)</issue-title><issue-title xml:lang="ru">ТОМ 28, №4 (2020)</issue-title><fpage>398</fpage><lpage>405</lpage><history><date date-type="received" iso-8601-date="2020-12-09"><day>09</day><month>12</month><year>2020</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2020, Amirkhanov I.V., Sarker N.R., Sarkhadov I.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2020, Амирханов И.В., Саркер Н.Р., Сархадов И.</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="en">Amirkhanov I.V., Sarker N.R., Sarkhadov I.</copyright-holder><copyright-holder xml:lang="ru">Амирханов И.В., Саркер Н.Р., Сархадов И.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/25184">https://journals.rudn.ru/miph/article/view/25184</self-uri><abstract xml:lang="en"><p>In this paper, we report a numerical simulation of laser ablation of a material by ultrashort laser pulses. The thermal mechanism of laser ablation is described in terms of a one-dimensional nonstationary heat conduction equation in a coordinate system associated with a moving evaporation front. The laser action is taken into account through the functions of the source in the thermal conductivity equation that determine the coordinate and time dependence of the laser source. For a given dose of irradiation of the sample, the profiles of the sample temperature at different times, the dynamics of the displacement of the sample boundary due to evaporation, the velocity of this boundary, and the temperature of the sample at the moving boundary are obtained. The dependence of the maximum temperature on the sample surface and the thickness of the ablation layer on the radiation dose of the incident laser pulse is obtained. Numerical calculations were performed using the finite difference method. The obtained results agree with the results of other works obtained by their authors.</p></abstract><trans-abstract xml:lang="ru"><p>В работе проведено численное моделирование лазерной абляции материала под действием ультракоротких лазерных импульсов. Тепловой механизм лазерной абляции описывается в рамках одномерного нестационарного уравнения теплопроводности в системе координат, связанной с движущимся фронтом испарения. Действие лазера учитывается через функции источника в уравнении теплопроводности, задавая координатную и временную зависимости источника лазера. Для заданной дозы облучения образца получены профили температуры образца при разных временах, динамике перемещения границы образца из-за испарения, скорости перемещения этой границы и температуры образца на движущейся границе. Получены зависимость максимума температуры на поверхности образца и толщины слоя абляции от дозы излучения падающего лазерного импульса. Численные расчеты проведены с применением метода конечных разностей. Полученные результаты согласуются с результатами работ других исследователей.</p></trans-abstract><kwd-group xml:lang="en"><kwd>Numerical simulation</kwd><kwd>ablation</kwd><kwd>pulsed lasers</kwd><kwd>heat conduction equation</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>численное моделирование</kwd><kwd>абляция</kwd><kwd>импульсные лазеры</kwd><kwd>уравнение теплопроводности</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The work was carried out by financial support of Russian Foundation for Basic Research No. 19-01-00645а and No. 20-51-44001 mong-а.</funding-statement></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>L. A. Zakharov and N. M. 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