Article
Engineering, Multidisciplinary
A. Garralda-Guillem, P. Montiel Lopez
Summary: This study first proves the existence of a solution to a variational equation system using a minimax equality and provides a numerical approximation. It then proposes a numerical method to solve an inverse problem associated with the system and demonstrates the method's behavior with a numerical example.
OPTIMIZATION AND ENGINEERING
(2021)
Article
Thermodynamics
Ardeshir Bangian-Tabrizi, Xiaobing Zhang, Yogesh Jaluria
Summary: Inverse problems are an important area of research in mathematics and physical sciences due to their wide applicability in practical systems and processes. Finding a unique and accurate solution to inverse problems is mathematically challenging as they are inherently ill-posed. In this paper, a search-based inverse heat convection methodology is tested against experimental data for estimating the heat input and location of a wall plume flow. The results demonstrate the robustness and practical applicability of the proposed methodology.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2022)
Article
Thermodynamics
Han-Taw Chen, Yin-Chuan Huang, Kuan-Xun Chen, Jiang-Ren Chang, Wei-Mon Yan
Summary: This study uses the inverse three-dimensional computational fluid dynamics method combined with the least squares method and overdetermined temperature measurements to investigate the natural convection-conduction conjugate heat transfer problem in a fully partitioned cavity. The results show that the zero-equation model and the RNG k-ε model are suitable for problems with a horizontal partition and a vertical partition, respectively.
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS
(2023)
Article
Mathematics, Applied
Kamal Rashedi
Summary: This study investigates the inverse problem of identifying the diffusion coefficient in the one-dimensional parabolic heat equation, reformulating the problem as a nonclassical parabolic equation and solving it using a system of nonlinear algebraic equations. Numerical simulations are used to demonstrate the feasibility of the proposed method.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Thermodynamics
Nosheen Fatima, Nabeela Kousar, Khalil Ur Rehman, Wasfi Shatanawi
Summary: It is well known that magneto-thermal convection has various applications in thermal engineering. In this study, the heat transfer in a magnetized thermal flow field in a novel cavity with convection mode is explored. Three different heaters are used at the bottom wall of the enclosure and various values of Reynolds and Hartmann numbers are considered. The results show that the lift and drag coefficients are higher for a rectangular heater compared to triangular and semi-circular heaters in the presence of a magnetic field.
CASE STUDIES IN THERMAL ENGINEERING
(2023)
Article
Automation & Control Systems
Rahel Bruegger, Helmut Harbrecht, Johannes Tausch
Summary: This article discusses the solution to a time-dependent shape identification problem, focusing on detecting an inclusion by minimizing the mismatch of the Neumann data. The time-dependent shape optimization problem is solved using a gradient-based optimization method, with numerical results validating the approach.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
(2021)
Article
Engineering, Multidisciplinary
Tahereh Molaee, Alimardan Shahrezaee
Summary: In this paper, we propose an improved Meshless Local Petrov-Galerkin (MLPG) method, called Direct Meshless Local Petrov-Galerkin (DMLPG) method, for solving the inverse time-dependent source problem for two-dimensional fractal mobile/immobile solute transport equation on regular and irregular domains. The DMLPG method reduces computational costs by using low-degree polynomial basis functions in the numerical integrations. Numerical results demonstrate the efficiency and accuracy of the proposed algorithm for solving the inverse source problem.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Engineering, Multidisciplinary
Pranowo, Agung Tri Wijayanta
Summary: This study proposes a numerical approach for thermal analysis of natural convection in a cavity using the direct meshless local Petrov-Galerkin method and an implicit artificial-compressibility model. The obtained results are validated using experimental data and four test problems, showing excellent agreement with conventional methods found in literature.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Mathematics, Applied
Yuxuan Gong, Peijun Li, Xu Wang, Xiang Xu
Summary: This paper addresses the inverse random source problem for a stochastic time fractional diffusion equation, proving the well-posedness of the direct problem by examining the well-posedness and regularity of the solution for the equivalent stochastic two-point boundary value problem in the frequency domain. It shows that the Fourier modulus of the diffusion coefficient of the random source is uniquely determined by the variance of the Fourier transform of the boundary data, and applies the phaselift method with random masks for phase retrieval in the inverse problem. Numerical experiments are conducted to demonstrate the effectiveness of the proposed method.
Article
Thermodynamics
Han-Taw Chen, Shing-Cheng Chang, Ming-Hsun Hsu, Cheng-Hui You
Summary: The study investigates the three-dimensional natural convection heat transfer of an innovative plate heat exchanger in a hot box through a combination of experimental measurements and inverse computational fluid dynamics simulation. The selection of appropriate flow models, wall functions, and determination of heat transfer rates are influenced by the spacing between the ducts and the convection environment. The findings highlight the importance of considering duct locations and flow model selection for accurate results in natural convection heat transfer.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2021)
Article
Engineering, Mechanical
Krishno D. Goswami, Anirban Chattopadhyay, Swapan K. Pandit
Summary: This study presents a numerical simulation of steady thermogravitational convection of Cu-Al2O3 water-hybrid magneto-nanofluid in a novel shaped enclosure. The results show that the combination of heater locations and geometry has a significant impact on the transport phenomena, and Cu-Al2O3 hybrid nanoparticles play a crucial role in enhancing heat transfer.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Physics, Multidisciplinary
K. Venkatadri, O. Anwar Beg, S. Kuharat
Summary: This study numerically investigates magnetohydrodynamic radiative-convective flow in a square cavity with Hall currents and a porous medium. Results show that the magnetic field can suppress or enhance thermal convection for different buoyancy ratios.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Michael Klibanov, Jingzhi Li, Wenlong Zhang
Summary: The first numerical solution of the 3-D travel time tomography problem is presented using the globally convergent convexification numerical method.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Engineering, Multidisciplinary
Adrian Rozanski, Jakub Rainer, Damian Stefaniuk, Igor Sevostianov, Dariusz Lydzba
Summary: This paper formulates a procedure to reconstruct the microstructure that produces the same effective thermal conductivity as the real composite material, and finds a binary representation of the "replacement" microstructure. The efficiency of this methodology has been illustrated and it can be used in computational modeling and 3D printing applications.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Mathematics, Applied
A. Nachaoui, M. Nachaoui, A. Chakib, M. A. Hilal
Summary: This paper addresses an elliptic inverse Cauchy problem by establishing a relationship between the Cauchy problem and an interface problem, developing regularizing and stable algorithms using classical methods of non-overlapping domain decomposition, and reformulating the inverse problem into a fixed point one. The existence result is shown based on the topological degree of Leray-Schauder, and the efficiency and accuracy of the developed algorithms are discussed.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2021)
Article
Mathematics, Applied
M. S. Hussein, N. Kinash, D. Lesnic, M. Ivanchov
APPLICABLE ANALYSIS
(2017)
Article
Engineering, Multidisciplinary
L. Marin, A. Karageorghis, D. Lesnic, B. T. Johansson
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
(2017)
Article
Thermodynamics
M. J. Huntul, D. Lesnic
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2017)
Article
Mathematics, Applied
K. Cao, D. Lesnic
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
(2018)
Article
Mathematics, Applied
Nguyen Huy Tuan, Vo Van Au, Vo Anh Khoa, Daniel Lesnic
Article
Engineering, Multidisciplinary
M. S. Hussein, D. Lesnic, B. T. Johansson, A. Hazanee
APPLIED MATHEMATICAL MODELLING
(2018)
Article
Mathematics, Applied
Nguyen Huy Tuan, Tran Dong Xuan, Nguyen Anh Triet, Daniel Lesnic
APPLIED MATHEMATICS LETTERS
(2018)
Article
Engineering, Multidisciplinary
A. Karageorghis, D. Lesnic, L. Marin
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2018)
Article
Engineering, Mechanical
Andreas Karageorghis, Daniel Lesnic
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2018)
Article
Thermodynamics
Mousa Huntul, Daniel Lesnic, Tomas Johansson
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2018)
Article
Mathematics, Applied
K. Cao, D. Lesnic
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2018)
Article
Mathematics, Applied
Kai Cao, Daniel Lesnic
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
(2018)
Article
Mathematics, Applied
S. O. Hussein, D. Lesnic, M. Yamamoto
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2017)
Article
Engineering, Multidisciplinary
B. Bin-Mohsin, D. Lesnic
APPLIED MATHEMATICAL MODELLING
(2017)
Article
Mathematics, Applied
M. J. Huntul, D. Lesnic, M. S. Hussein
APPLIED MATHEMATICS AND COMPUTATION
(2017)
