Error Estimates for the Heterogeneous Multiscale Finite Volume Method of Convection-Diffusion-Reaction Problem [PDF]
Based on the heterogeneous multiscale method, this paper presents a finite volume method to solve multiscale convection-diffusion-reaction problem. The paper constructs an algorithm of the optimal order convergence rate in H1-norm under periodic medias.
Tao Yu, Peichang Ouyang, Haitao Cao
doaj +3 more sources
An Operator Formulation of the Multiscale Finite-Volume Method with Correction Function [PDF]
The multiscale finite-volume (MSFV) method has been derived to efficiently solve large problems with spatially varying coefficients. The fine-scale problem is subdivided into local problems that can be solved separately and are coupled by a global problem.
Ivan Lunati, Seong H. Lee
openaire +4 more sources
Comparisons of FV-MHMM with Other Finite Volume Multiscale Methods [PDF]
Upscaling and multiscale methods in reservoir engineering remain a complicated task especially when dealing with heterogeneities. In this study, we focus on flow field problem with a Darcy’s equation considered at the fine scale. The main difficulty is then to obtain an accurate description of the flow behavior by using multiscale methods available in ...
Franc, Jacques +4 more
openaire +5 more sources
Processes simulations with multiscale materials models using a dedicated interface [PDF]
The main goal of this work is the integration of in-house software with commercial numerical software based on the finite element method (FEM). The main idea is to develop a universal interface to perform process simulations with multiscale models.
Grzegorz Smyk, Danuta Szeliga
doaj +1 more source
In this work, we consider a polymer flooding process in heterogeneous media. A system of equations for pressure, water saturation, and polymer concentration describes a mathematical model.
Maria Vasilyeva, Denis Spiridonov
doaj +1 more source
Numerical Simulation of a Hybrid Nanocomposite Containing Ca-CO3 and Short Glass Fibers Subjected to Tensile Loading [PDF]
The tensile properties of multiscale, hybrid, thermoplastic-based nanocomposites reinforced with nano-CaCO3 particles and micro–short glass fibers (SGF) were predicted by a two-step, three-dimensionalmodel using ANSYS finite element (FE) software ...
Minoo Dokht Shokrian +2 more
doaj +1 more source
Monotone multiscale finite volume method [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Y. (author) +2 more
openaire +3 more sources
Progress of discrete unified gas-kinetic scheme for multiscale flows
Multiscale gas flows appear in many fields and have received particular attention in recent years. It is challenging to model and simulate such processes due to the large span of temporal and spatial scales. The discrete unified gas kinetic scheme (DUGKS)
Zhaoli Guo, Kun Xu
doaj +1 more source
Application of M3GM in a Petroleum Reservoir Simulation [PDF]
Reservoir formations exhibit a wide range of heterogeneity from micro to macro scales. A simulation that involves all of these data is highly time consuming or almost impossible; hence, a new method is needed to meet the computational cost. Moreover, the
ehsan taheri +2 more
doaj +1 more source
Analysis of porosity influence on the effective moduli of ceramic matrix PZT composite using the simplified finite element model [PDF]
The problem of determining the effective moduli of a ceramic matrix piezocomposite with respect to multiscale porosity was considered. To solve the homogenization problem, the method of effective moduli in the standard formulation, the finite element ...
Anna Kudimova, Andrey Nasedkin
doaj +1 more source

