Second-Order Finite Difference Approximations of the Upper-Convected Time Derivative (Q5020749)

scientific article; zbMATH DE number 7453433

Language	Label	Description	Also known as
English	Second-Order Finite Difference Approximations of the Upper-Convected Time Derivative	scientific article; zbMATH DE number 7453433

Statements

instance of

scholarly article

0 references

title

Second-Order Finite Difference Approximations of the Upper-Convected Time Derivative (English)

0 references

0 references

0 references

0 references

SIAM Journal on Numerical Analysis

0 references

publication date

7 January 2022

0 references

full work available at URL

https://arxiv.org/abs/2106.02950

0 references

zbMATH Keywords

generalized Lie derivative

0 references

Lagrangian scheme

0 references

finite difference method

0 references

describes a project that uses

rheoTool

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Benchmark solutions for the flow of Oldroyd-B and PTT fluids in planar contractions

0 references

On a conservation upwind finite element scheme for convective diffusion equations

0 references

Existence of approximate solutions and error bounds for viscoelastic fluid flow: Characteristics method

0 references

Flows of viscoelastic fluids treated by the method of characteristics

0 references

Numerical Analysis of a Second order Pure Lagrange–Galerkin Method for Convection-Diffusion Problems. Part I: Time Discretization

0 references

A Second Order in Time Modified Lagrange--Galerkin Finite Element Method for the Incompressible Navier--Stokes Equations

0 references

Modified Lagrange-Galerkin methods of first and second order in time for convection-diffusion problems

0 references

The Implicit Upwind Method for 1-D Scalar Conservation Laws with Continuous Fluxes

0 references

Variational multi-scale stabilized formulations for the stationary three-field incompressible viscoelastic flow problem

0 references

Global Strong Solutions for Some Differential Viscoelastic Models

0 references

A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of scalar hyperbolic conservation laws

0 references

Numerical modelling of viscoelastic liquids using a finite-volume method

0 references

Lattice Boltzmann Formulation for Linear Viscoelastic Fluids Using an Abstract Second Stress

0 references

Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures

0 references

A finite element procedure coupled with the method of characteristics for simulation of viscoelastic fluid flow

0 references

Approximation of Time-Dependent Viscoelastic Fluid Flow: SUPG Approximation

0 references

Application of the natural stress formulation for solving unsteady viscoelastic contraction flows

0 references

Constitutive laws for the matrix-logarithm of the conformation tensor

0 references

A new approach for the FEM simulation of viscoelastic flows

0 references

Evolutionary Variational Inequalities Arising in Viscoelastic Contact Problems

0 references

On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes

0 references

A local analysis of the axisymmetric Navier–Stokes flow near a saddle point and no-slip flat boundary

0 references

Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms

0 references

A Multigrid Method for Viscoelastic Fluid Flow

0 references

New formulations, positivity preserving discretizations and stability analysis for non-Newtonian flow models

0 references

GLOBAL EXISTENCE, UNIQUENESS AND OPTIMAL SOLVERS OF DISCRETIZED VISCOELASTIC FLOW MODELS

0 references

Stable Finite Element Discretizations for Viscoelastic Flow Models

0 references

Global Existence Result for the Generalized Peterlin Viscoelastic Model

0 references

Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part I: A nonlinear scheme

0 references

Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part II: A linear scheme

0 references

Finite element approximation of viscoelastic fluid flow using characteristics method

0 references

A numerical study of the \textit{kernel-conformation} transformation for transient viscoelastic fluid flows

0 references

Error estimates of a pressure-stabilized characteristics finite element scheme for the Oseen equations

0 references

Error estimates of a stabilized Lagrange−Galerkin scheme for the Navier−Stokes equations

0 references

Stabilized Lagrange–Galerkin Schemes of First- and Second-Order in Time for the Navier–Stokes Equations

0 references

On the formulation of rheological equations of state

0 references

A numerical study of steady and unsteady viscoelastic flow past bounded cylinders

0 references

Numerical simulation of nonlinear elastic flows with a general collocated finite volume method

0 references

A new finite element scheme using the Lagrangian framework for simulation of viscoelastic fluid flows

0 references

Stability and convergence of a Galerkin-characteristics finite element scheme of lumped mass type

0 references

Q3813440

0 references

An Existence Theorem for Model Equations Resulting from Kinetic Theories of Polymer Solutions

0 references

Q4509117

0 references

A second order characteristic finite element scheme for convection-diffusion problems

0 references

Finite Element Approximation of Viscoelastic Fluid Flow: Existence of Approximate Solutions and Error Bounds. Continuous Approximation of the Stress

0 references

Convergence Rates for Upwind Schemes with Rough Coefficients

0 references

Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations

0 references

Discrepancy between theory and real computation on the stability of some finite element schemes

0 references

A genuinely stable Lagrange-Galerkin scheme for convection-diffusion problems

0 references

An exactly computable Lagrange–Galerkin scheme for the Navier–Stokes equations and its error estimates

0 references

A finite difference technique for simulating unsteady viscoelastic free surface flows

0 references

The distinctive CFD challenges of computational rheology

0 references

High-resolution shock-capturing schemes for inviscid and viscous hypersonic flows

0 references

Identifiers

zbMATH Open document ID

1498.65147

0 references

DOI

10.1137/20M1364990

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5020749