Article
Computer Science, Interdisciplinary Applications
Yusuke Majima, Hiro Wakimura, Takayuki Aoki, Feng Xiao
Summary: This paper proposes an adaptive model for determining the suitable limiter function in compressible flow simulations to ensure numerical accuracy and stability.
COMPUTERS & FLUIDS
(2023)
Article
Computer Science, Interdisciplinary Applications
Gabor Toth
Summary: We propose a new principle for numerical schemes of conservation laws in one and multiple dimensions. The new formulation is based on the concept of Total of Time Variation (TOTV), which is defined as the volume integral of the magnitude of the time derivative. We show that TOTV is a conserved quantity for both one-dimensional and multi-dimensional scalar conservation laws. We introduce the Total of Time Variation Diminishing (TOTVD) method, which ensures that the discrete form of TOTV does not increase with time, making the scheme stable against catastrophic instabilities.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Amareshwara Sainadh Chamarthi, Steven H. Frankel
Summary: In this paper, a novel hybrid nonlinear explicit-compact scheme for shock capturing based on a boundary variation diminishing (BVD) reconstruction is presented. The method combines a non-dissipative sixth-order central compact interpolation and a fifth-order monotonicity preserving scheme through the BVD algorithm. Numerical examples suggest that the method is capable of resolving small scale flow features and capturing sharp discontinuities as the MP5 scheme.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Tomas Smejkal, Jiri Mikyska, Tissa H. Illangasekare
Summary: In this paper, a numerical solution for the multi-phase compressible Darcy's flow of a multi-component mixture in a porous medium is presented. The mathematical model includes mass conservation equations for each component, extended Darcy's law for each phase, and appropriate initial and boundary conditions. The phase split is calculated using the phase equilibrium computation in the VTN-flash method. The transport equations are solved numerically using the mixed-hybrid finite element method and an iterative IMPEC scheme. The convergence of the numerical scheme is verified using the experimental orders of convergence (EOC). This is an extended version of a conference paper.
JOURNAL OF COMPUTATIONAL SCIENCE
(2022)
Article
Mathematics, Applied
Cunyun Nie, Shi Shu, Menghuan Liu
Summary: This paper presents a novel monotone finite volume element scheme for the diffusion problem on triangular grids. The scheme introduces fictitious triangular elements and extends the diffusive tensor and solution continuously to these elements. Additionally, a new nonlinear two-point flux formulation is obtained for some control volume edges. The paper proves the monotonicity of the scheme under certain conditions and verifies its accuracy and stability through numerical experiments.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2022)
Article
Chemistry, Multidisciplinary
Hyung-Gyu Choi, Young Il Byun, Chul Ki Song, Martin B. G. Jun, Chaemin Lee, San Kim
Summary: This paper presents a novel and efficient solution procedure for improving 3D solid finite element analysis. The procedure utilizes finite elements enriched by polynomial cover functions to expand their solution space without requiring mesh refinement or additional nodes. An error estimation method and cover function selection scheme are developed to facilitate this solution procedure, enabling the adaptive application of cover functions in a systematic and efficient manner. The proposed procedure consistently reduces stress prediction error by more than half in numerical examples.
APPLIED SCIENCES-BASEL
(2023)
Article
Mathematics, Applied
L'Ubomir Banas, Andre Wilke
Summary: This paper presents a posteriori error estimates for a fully discrete time-implicit finite element approximation of the stochastic total variation flow (STVF) with additive space time noise. The estimates are derived first for an implementable fully discrete approximation of a regularized STVF. It is then shown that the derived a posteriori estimates remain valid for the unregularized flow with a perturbation term controlled by the regularization parameter. Based on these estimates, a pathwise algorithm for adaptive space-time refinement is proposed and numerical simulations for the regularized STVF are performed to demonstrate the behavior of the proposed algorithm.
SIAM JOURNAL ON NUMERICAL ANALYSIS
(2022)
Article
Mathematics, Applied
Cunyun Nie, Haiyuan Yu
Summary: In this paper, we propose a monotone finite volume element scheme for diffusion problems on triangular grids. A new nonlinear two-point flux formulation is used to approximate the diffusion term, and the scheme is proven to be monotone under certain conditions. Numerical experiments validate the accuracy, stability, and monotonicity of the proposed scheme.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2022)
Article
Computer Science, Interdisciplinary Applications
Junxiang Yang, Zhijun Tan, Sangkwon Kim, Chaeyoung Lee, Soobin Kwak, Junseok Kim
Summary: This study presents a method for simulating fluid flows on curved surfaces in three-dimensional space. By using the finite volume lattice Boltzmann method and unstructured triangular meshes, the proposed method offers an efficient solution for fluid flows on curved surfaces.
ENGINEERING WITH COMPUTERS
(2022)
Article
Engineering, Multidisciplinary
Houbiao Ma, Yahui Zhang
Summary: In this study, a novel efficient 3D vibro-acoustic analysis method, PUFEM-FEM, is proposed, which can analyze multiple frequencies without the need for repeated meshing, while retaining the FEM's ability to model complex structures in great detail.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Geochemistry & Geophysics
Xun Wang, Deshan Feng
Summary: The study introduces a 3-D FWI algorithm involving permittivity and conductivity for GPR in the frequency domain, utilizing the edge-based finite element method and the limited-memory BFGS method to solve the forward and inverse problems efficiently.
IEEE GEOSCIENCE AND REMOTE SENSING LETTERS
(2021)
Article
Computer Science, Interdisciplinary Applications
Gang Peng, Zhiming Gao, Wenjing Yan, Xinlong Feng
Summary: This paper introduces a new cell-centered positivity-preserving finite volume scheme for solving 3D anisotropic diffusion problems on distorted meshes. The scheme utilizes primary and auxiliary unknowns, with discretization, interpolation, and acceleration methods to improve computational efficiency and numerical accuracy.
COMPUTER PHYSICS COMMUNICATIONS
(2021)
Article
Computer Science, Interdisciplinary Applications
Fangjie Zheng, Yunfan Zhu, Yanji Gong, Deqiang Yin, Yang Liu
Summary: This study focuses on the effect of material assignment methods on finite element analysis results in temporomandibular joint disorder (TMD) studies. Non-uniform modelings based on CT values can better describe the mechanical properties of human bone and accurately predict the damaged regions.
COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE
(2023)
Article
Chemistry, Multidisciplinary
Jeong Hun Park, Hyun-Ji Park, Sarah Jo Tucker, Sarah R. Rutledge, Lizhen Wang, Michael E. Davis, Scott J. Hollister
Summary: A successful 3D printing of a novel 3D architected auxetic for large-volume soft tissue engineering is reported. The 3D auxetic design is analyzed through finite element (FE) simulation and created by selective laser sintering (SLS) of Poly-epsilon-caprolactone (PCL) for further mechanical and biological analysis. The 3D auxetic exhibits high flexibility and nonlinear stress-strain response, which is achieved despite the relatively stiff and linear properties of PCL. The excellent mechanical and biological performance of the 3D auxetic is attributed to the synergistic effect of its novel design and the printing characteristic of SLS.
ADVANCED FUNCTIONAL MATERIALS
(2023)
Article
Mathematics, Applied
Marien-Lorenzo Hanot
Summary: In this paper, the incompressible Navier-Stokes equations are discretized using the framework of finite element exterior calculus. The equations are rewritten into a vorticity-velocity-pressure form using the Lamb identity, which fits into the de Rham complex of minimal regularity. A discretization using a large class of finite elements, including arbitrary order polynomial spaces readily available in many libraries, is proposed. The main advantage of this discretization is that the divergence of the fluid velocity is pointwise zero at the discrete level, ensuring pressure robustness. The analysis focuses on a class of linearized equations for which well-posedness and a priori error estimates are proven. The results are validated through numerical simulations.
SIAM JOURNAL ON NUMERICAL ANALYSIS
(2023)
Article
Energy & Fuels
Bruno Ramon Batista Fernandes, Francisco Marcondes, Kamy Sepehrnoori
JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING
(2018)
Review
Engineering, Mechanical
Paulo Vicente de Cassia Lima Pimenta, Francisco Marcondes
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
(2019)
Article
Energy & Fuels
Yifei Xu, Bruno Ramon Batista Fernandes, Francisco Marcondes, Kamy Sepehrnoori
JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING
(2019)
Article
Materials Science, Multidisciplinary
Jose Rene de Sousa Rocha, Emerson Edilson Barros de Souza, Francisco Marcondes, Jose Adilson de Castro
JOURNAL OF MATERIALS RESEARCH AND TECHNOLOGY-JMR&T
(2019)
Article
Engineering, Chemical
Jailson C. Santos, Joao A. Lima, Jose M. Gurgel, Francisco Marcondes
BRAZILIAN JOURNAL OF CHEMICAL ENGINEERING
(2019)
Article
Engineering, Mechanical
Y. C. Silva, F. J. Oliveira Junior, F. Marcondes, C. C. Silva
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
(2020)
Article
Metallurgy & Metallurgical Engineering
Yuri C. da Silva, Francisco J. V. Oliveira Junior, Jorge F. dos Santos, Francisco Marcondes, Cleiton Silva
WELDING IN THE WORLD
(2020)
Article
Energy & Fuels
Y. Xu, I. C. M. Lima, F. Marcondes, K. Sepehrnoori
JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING
(2020)
Article
Computer Science, Interdisciplinary Applications
Bruno Ramon Batista Fernandes, Francisco Marcondes, Kamy Sepehrnoori
Summary: Estimating oil and gas production is crucial for oil recovery processes, with the use of compositional simulation models to address miscible displacement and complex phase behavior problems. The new Adaptive Implicit Method combines global FI formulation and IMPEC approach, resulting in considerable improvement in computational performance.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Engineering, Multidisciplinary
Bruno Ramon Batista Fernandes, Kamy Sepehrnoori, Mojdeh Delshad, Francisco Marcondes
Summary: Chemical enhanced oil recovery (CEOR) involves injecting chemicals such as polymers, surfactants, and alkali into oil reservoirs to increase oil recovery. Optimization of chemical injection requires the use of reservoir simulation tools. However, developing reservoir simulators for CEOR has been challenging due to the nonlinear nature of physicochemistry.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Energy & Fuels
Mojdeh Delshad, Yelnur Umurzakov, Kamy Sepehrnoori, Peter Eichhubl, Bruno Ramon Batista Fernandes
Summary: Hydrogen is an attractive energy carrier for various applications, and successful underground hydrogen storage technology is crucial for a hydrogen economy. Different options, such as manmade caverns, salt domes/caverns, saline aquifers, and depleted oil/gas fields, have been used for storing large quantities of gaseous hydrogen. The key requirements for porous rock formations storing hydrogen include adequate capacity, containment ability, high-volume injection/extraction capability, and reliable caprock to prevent leakage. Detailed evaluations and simulations have shown that while experiences with CO2 and natural gas storage cannot be simply replicated with hydrogen, hydrogen storage requires special containment measures due to its lateral spread behavior.
Article
Chemistry, Applied
Bruno Ramon Batista Fernandes, Kamy Sepehrnoori, Mojdeh Delshad
Summary: Modeling complex phase behavior of microemulsions has been a long-time research topic. The HLD-NAC model has provided a theoretical basis for this, but lacks in-depth description of cosolvent modeling. This study aims to fill this gap by modifying the HLD-NAC approach and investigating its calibration and prediction capabilities. Experimental data sets were considered, and the results show that the Hand model performs better for extreme salinity values.
JOURNAL OF SURFACTANTS AND DETERGENTS
(2023)
