4.7 Article

A local domain BEM for solving transient convection-diffusion-reaction problems

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Engineering, Multidisciplinary

A local domain boundary element method for solving the nonlinear fisher KPP diffusion-reaction equation

Theodore Gortsas et al.

Summary: In this work, a Local Domain BEM (LD-BEM) method for solving the Fisher KPP equation is presented. The LD-BEM method reduces the CPU memory requirements of the conventional BEM by fragmenting the domain into small subdomains and considering the integral representation separately for each subdomain, leading to sparse linear system coefficient matrices.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2022)

Article Engineering, Environmental

Three-dimensional numerical simulation on the thermal response of oil shale subjected to microwave heating

Jingyi Zhu et al.

Summary: Microwave heating technology has been explored as an alternative to conventional heating methods for oil shale upgrading. Numerical simulations were conducted to investigate the thermal response of oil shale under microwave irradiation, revealing nonuniform temperature distribution and the most efficient heating frequency at 2.45 GHz.

CHEMICAL ENGINEERING JOURNAL (2021)

Article Engineering, Multidisciplinary

Least-squares virtual element method for the convection-diffusion-reaction problem

Gang Wang et al.

Summary: This paper introduces a least-squares virtual element method for the convection-diffusion-reaction problem in mixed form, allowing for the use of very general polygonal meshes and providing efficient error estimates. Numerical experiments demonstrate the accuracy of the method and the effectiveness of adaptive mesh refinement.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2021)

Article Engineering, Multidisciplinary

Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations

Shuainan Liu et al.

Summary: This paper explores the use of LMFS for numerically solving general transient convection-diffusion-reaction equations in 2D and 3D materials. The method utilizes CN time-stepping technology and CCS approximation for solving boundary value problems efficiently.Various benchmark examples demonstrate the effectiveness and feasibility of the approach compared to traditional methods like MFS and BEM.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2021)

Article Computer Science, Interdisciplinary Applications

Particle hydrodynamic simulation of thrombus formation using velocity decay factor

Fei Wang et al.

Summary: This study introduces a novel method to simulate the formation mechanism of thrombus and its interaction with blood flow. The proposed method consists of three steps, which have been extensively tested and shown to be superior to peer methods in terms of computational efficiency, maintaining stability of dynamic particle motion, and preventing particle penetration at the boundary.

COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE (2021)

Article Engineering, Multidisciplinary

Semi-Lagrangian formulation for the advection-diffusion-absorption equation

Albert Puigferrat et al.

Summary: A numerical method combining Lagrangian and Eulerian approaches is proposed to solve advective-diffusive-absorptive problems, showing effectiveness through validation with various test cases.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

Article Nanoscience & Nanotechnology

Numerical solution of convection-diffusion-reaction equations by a finite element method with error correlation

Sadia Akter Lima et al.

Summary: This study utilizes the Finite Element Method to numerically approximate the Convection-Diffusion-Reaction equation, focusing on analyzing the convergence and stability of nonlinear parabolic partial equations, with regular and irregular geometrical shapes as key objectives. The accuracy and acceptance of the FEM method are evaluated through dissipation error, dispersion error, and total error analysis, showing its validity and efficiency in solving nonlinear CDR equations.

AIP ADVANCES (2021)

Article Mathematics

Analysis of a Galerkin-characteristic finite element method for convection-diffusion problems in porous media

Loubna Salhi et al.

Summary: A Galerkin-characteristic finite element method is proposed for time-dependent convection-diffusion problems in porous media, allowing equal-order finite element approximations and relaxation of the Courant-Friedrichs-Lewy condition. Analysis of convergence and stability, along with error estimates in the L-2-norm, suggest high accuracy and efficiency of the method.

ADVANCES IN PURE AND APPLIED MATHEMATICS (2021)

Article Engineering, Multidisciplinary

A single domain velocity - vorticity Fast Multipole Boundary Domain Element Method for three dimensional incompressible fluid flow problems, part II

Euripides J. Sellountos

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2020)

Article Engineering, Multidisciplinary

A meshless BEM for solving transient non-homogeneous convection-diffusion problem with variable velocity and source term

Hai-Feng Peng et al.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2020)

Article Engineering, Multidisciplinary

Radial integration boundary element method for solving two-dimensional unsteady convection-diffusion problem

Hai-Feng Peng et al.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2019)

Article Chemistry, Multidisciplinary

Drug delivery mathematical modeling for pressure controlled bioreactor

Valdas Laurinavicius et al.

JOURNAL OF MATHEMATICAL CHEMISTRY (2019)

Article Engineering, Multidisciplinary

New BEM/BEM and BEM/FEM scalar potential formulations for magnetostatic problems

Dimitrios C. Rodopoulos et al.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2019)

Article Engineering, Multidisciplinary

ACA/BEM for solving large-scale cathodic protection problems

Dimitrios C. Rodopoulos et al.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2019)

Article Computer Science, Interdisciplinary Applications

Convection-diffusion-reaction of CO2-enriched brine in porous media: A pore-scale study

Hassan Dashtian et al.

COMPUTERS & GEOSCIENCES (2019)

Article Engineering, Multidisciplinary

RBF-based meshless local Petrov Galerkin method for the multi-dimensional convection-diffusion-reaction equation

Jingwei Li et al.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2019)

Article Engineering, Multidisciplinary

DBEM and DRBEM solutions to 2D transient convection-diffusion-reaction type equations

Hande Fendoglu et al.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2018)

Article Engineering, Multidisciplinary

A novel dual reciprocity boundary element formulation for two-dimensional transient convection diffusion reaction problems with variable velocity

Salam A. AL-Bayati et al.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2018)

Article Thermodynamics

A new radial integration polygonal boundary element method for solving heat conduction problems

Miao Cui et al.

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER (2018)

Article Mathematics, Applied

A WEAK GALERKIN FINITE ELEMENT METHOD FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION-REACTION PROBLEMS

Runchang Lin et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2018)

Article Thermodynamics

Radial integration BEM for solving transient nonlinear heat conduction with temperature-dependent conductivity

Kai Yang et al.

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER (2017)

Review Thermodynamics

Radial integration boundary element method for nonlinear heat conduction problems with temperature-dependent conductivity

Kai Yang et al.

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER (2017)

Article Thermodynamics

Singular boundary method for transient convection-diffusion problems with time-dependent fundamental solution

Fajie Wang et al.

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER (2017)

Article Engineering, Multidisciplinary

A study concerning the solution of advection-diffusion problems by the Boundary Element Method

C. L. N. Cunha et al.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2016)

Article Thermodynamics

A block-centered characteristic finite difference method for convection-dominated diffusion equation

Shuying Zhai et al.

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER (2015)

Article Mathematics, Applied

The Hitchhiker's Guide to the Virtual Element Method

L. Beirao da Veiga et al.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2014)

Article Thermodynamics

A New High-Order Compact ADI Method for 3-D Unsteady Convection-Diffusion Problems with Discontinuous Coefficients

Shuying Zhai et al.

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS (2014)

Article Engineering, Multidisciplinary

Calculation of 2D singular and near singular integrals of boundary elements method based on the complex space C

Mehdi Dehghan et al.

APPLIED MATHEMATICAL MODELLING (2012)

Article Engineering, Multidisciplinary

The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems

Lingzhi Qian et al.

APPLIED MATHEMATICAL MODELLING (2012)

Article Engineering, Multidisciplinary

A high-resolution Petrov-Galerkin method for the convection-diffusion-reaction problem. Part II-A multidimensional extension

Prashanth Nadukandi et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2012)

Article Engineering, Multidisciplinary

New variable transformations for evaluating nearly singular integrals in 2D boundary element method

Guizhong Xie et al.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2011)

Article Engineering, Multidisciplinary

Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation

Erik Burman et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2009)

Article Engineering, Multidisciplinary

Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion

Volker John et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2008)

Article Engineering, Multidisciplinary

A finite volume method for advection-diffusion problems in convection-dominated regimes

Gianmarco Manzini et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2008)

Article Computer Science, Interdisciplinary Applications

Time-domain BEM solution of convection-diffusion-type MHD equations

N. Bozkaya et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2008)

Article Engineering, Multidisciplinary

Analytic formulations for calculating nearly singular integrals in two-dimensional BEM

Zhongrong Niu et al.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2007)

Article Engineering, Multidisciplinary

Conduction and convection phenomena through a slab with thermal heterogeneities

A. Tadeu et al.

APPLIED MATHEMATICAL MODELLING (2007)

Article Engineering, Multidisciplinary

A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals

Barbara M. Johnston et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2007)

Article Engineering, Multidisciplinary

Efficiency of boundary element methods for time-dependent convective heat diffusion at high Peclet numbers

MM Grigoriev et al.

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING (2005)

Article Engineering, Multidisciplinary

Introduction to hierarchical matrices with applications

S Börm et al.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2003)

Article Engineering, Multidisciplinary

A boundary element method for solving 2-D and 3-D static gradient elastic problems - Part II: Numerical implementation

KG Tsepoura et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2003)

Article Engineering, Multidisciplinary

Boundary element methods for transient convective diffusion. Part I: General formulation and 1D implementation

MM Grigoriev et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2003)

Article Engineering, Multidisciplinary

Boundary element methods for transient convective diffusion. Part II: 2D implementation

MM Grigoriev et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2003)

Article Engineering, Multidisciplinary

Boundary element methods for transient convective diffusion. Part III: Numerical examples

MM Grigoriev et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2003)

Article Engineering, Multidisciplinary

The radial integration method for evaluation of domain integrals with boundary-only discretization

XW Gao

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2002)

Article Engineering, Multidisciplinary

Numerical integration of logarithmic and nearly logarithmic singularity in BEMs

V Sladek et al.

APPLIED MATHEMATICAL MODELLING (2001)

Article Engineering, Multidisciplinary

A poly-region boundary element method for two-dimensional Boussinesq flows

GF Dargush et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2000)