Oscillation-free nodal discontinuous spectral element method for the simulation of compressible multicomponent flows

DOI10.1016/j.jcp.2021.110921OpenAlexW4200343052MaRDI QIDQ2133602

Dongru Li, Jonathan Komperda, Ahmad Peyvan, Farzad Mashayek

Publication date: 4 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110921

zbMATH Keywords

flux reconstructionmulticomponent flowshigh-order numerical schemesconsistent shock-capturingdouble flux schemenodal discontinuous spectral element method

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Compressible fluids and gas dynamics (76Nxx)

Related Items (1)

High-order methods for hypersonic flows with strong shocks and real chemistry

Cites Work

• Discontinuous Galerkin method for multicomponent chemically reacting flows and combustion
• A low-dissipation and time-accurate method for compressible multi-component flow with variable specific heat ratios
• Entropy viscosity method for nonlinear conservation laws
• A high-wavenumber viscosity for high-resolution numerical methods
• A Runge-Kutta discontinuous Galerkin approach to solve reactive flows: the hyperbolic operator
• A new class of high-order energy stable flux reconstruction schemes
• Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows
• Finite-volume WENO scheme for viscous compressible multicomponent flows
• Suitability of artificial bulk viscosity for large-eddy simulation of turbulent flows with shocks
• Shock capturing by the spectral viscosity method
• Implementation of WENO schemes in compressible multicomponent flow problems
• A front-tracking/ghost-fluid method for fluid interfaces in compressible flows
• Multifluid numerical approximations based on a multipressure formulation
• A staggered-grid multidomain spectral method for the compressible Navier-Stokes equations
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• Multicomponent flow calculations by a consistent primitive algorithm
• An adaptive shock-capturing algorithm for solving unsteady reactive flows.
• A volume of fluid method based ghost fluid method for compressible multi-fluid flows
• Shock capturing with entropy-based artificial viscosity for staggered grid discontinuous spectral element method
• Consistent numerical diffusion terms for simulating compressible multicomponent flows
• Numerical simulations of compressible multicomponent and multiphase flow using a high-order targeted ENO (TENO) finite-volume method
• High-order spectral volume scheme for multi-component flows using non-oscillatory kinetic flux
• Finite volume methods for multi-component Euler equations with source terms
• Consistent implementation of characteristic flux-split based finite difference method for compressible multi-material gas flows
• Characteristic finite-difference WENO scheme for multicomponent compressible fluid analysis: overestimated quasi-conservative formulation maintaining equilibriums of velocity, pressure, and temperature
• A conservative staggered-grid Chebyshev multidomain method for compressible flows. II: A semi-structured method
• A flux-split algorithm applied to conservative models for multicomponent compressible flows.
• How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach
• A conservative staggered-grid Chebyshev multidomain method for compressible flows
• An interface-sharpening method with adaptive mesh refinement for volume-of-fluid simulations of two-phase compressible flows
• \textit{A posteriori} correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction
• How to preserve the mass fractions positivity when computing compressible multi-component flows
• On a robust and accurate localized artificial diffusivity scheme for the high-order flux-reconstruction method
• Multicomponent gas flow computations by a discontinuous Galerkin scheme using \(L^{2}\)-projection of perfect gas EOS
• Computing nearly singular solutions using pseudo-spectral methods
• A high-resolution scheme for compressible multicomponent flows with shock waves
• Artificial fluid properties for large-eddy simulation of compressible turbulent mixing
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• On the dynamics of a shock–bubble interaction
• On the Gibbs Phenomenon and Its Resolution
• Compressibility effects on energy exchange mechanisms in a spatially developing plane free shear layer
• Enthalpy diffusion in multicomponent flows
• Computations of compressible multifluids.
• Preventing numerical errors generated by interface-capturing schemes in compressible multi-material flows

This page was built for publication: Oscillation-free nodal discontinuous spectral element method for the simulation of compressible multicomponent flows