A high-order adaptive algorithm for multispecies gaseous flows on mapped domains

Owen, Landon D.; Guzik, Stephen M.; Gao, Xinfeng

doi:10.1016/j.compfluid.2018.05.010

Cited by 16 publications

(7 citation statements)

References 23 publications

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“…Richardson extrapolation is used to verify the fourth‐order error convergence rates using the

4096\times 128

case as the reference solution. Chord has previously been verified as achieving fourth‐order error convergence for nonreacting multi‐species flow, 14 so this study focuses on verifying the convergence rate for reacting flows with ARK4 time integration. The reference case is run for 1600 time steps with a fixed

\Delta t=2.5\times 1{0}^{-9}

s. For the subsequent cases, the time step size and number of time steps are scaled in accordance with the CFL number.…”

Section: Verificationmentioning

confidence: 99%

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High‐order implicit‐explicit additive Runge–Kutta schemes for numerical combustion with adaptive mesh refinement

Christopher

Guzik

Gao

2022

Numerical Methods in Fluids

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The objective of this study is to develop and apply efficient solution techniques for numerical modeling of combustion with stiff chemical kinetics in practical combustors. The new technique combines a fourth-order implicit-explicit (IMEX) additive Runge-Kutta scheme (ARK) with adaptive mesh refinement (AMR). The IMEX component treats the stiff reactions implicitly but integrates convection and diffusion explicitly in time, and thus permits the solution to advance with larger time-step sizes than that of explicit time-marching methods alone. The AMR further adds computational efficiency by effectively placing high spatial resolution meshes in regions with strong gradients, such as flame fronts. The novelty of this study is in the integration of a fourth-order IMEX ARK method with AMR for a high-order finite-volume scheme and the application to solving complex reacting flows governed by the compressible Navier-Stokes equations with very stiff chemistry in a practical combustor geometry. The effectiveness and performance of the adaptive ARK4 is assessed for complex reacting flows by examining properties, such as the presence of shock waves, the time-scale changes in response to AMR levels, and the size and stiffness of reaction mechanisms for various fuels such as H 2 , CH 4 , and C 3 H 8 . The new adaptive ARK4 method is verified and validated using a convection-diffusion-reaction problem and shock-driven combustion, respectively. The validated algorithm is then applied to solve the stiff C 3 H 8 -air combustion in a bluff-body combustor. A significant speedup of three orders of magnitude is achieved in comparison to the standard ERK4 method at the given solution accuracy.

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“…Richardson extrapolation is used to verify the fourth‐order error convergence rates using the

4096\times 128

\Delta t=2.5\times 1{0}^{-9}

s. For the subsequent cases, the time step size and number of time steps are scaled in accordance with the CFL number.…”

Section: Verificationmentioning

confidence: 99%

“…The system of PDEs governing compressible combustion consists of the Navier-Stokes and a set of species transport equations 3,13 and specifically the mapped version 14,15 is used for this study. Furthermore, we employ mapped multiblock techniques 16,17 to represent complicated geometry on a Cartesian grid with AMR.…”

Section: Mathematical Modelingmentioning

confidence: 99%

High‐order implicit‐explicit additive Runge–Kutta schemes for numerical combustion with adaptive mesh refinement

Christopher

Guzik

Gao

2022

Numerical Methods in Fluids

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“…This benchmark is a modified two-dimensional Riemann problem in a shock box, which involves the interaction of multispecies shocks with slip walls [41]. The size of the shock box is 1000 mm × 1000 mm.…”

Section: Multispecies Shock Boxmentioning

confidence: 99%

A solver for simulating shock-induced combustion on curvilinear adaptive meshes

2022

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A generic solver in a structured Cartesian adaptive mesh refinement framework is extended to simulate unsteady shock-induced combustion problems on a structured curvilinear mesh.A second-order accurate finite volume method is used with a grid-aligned Riemann solver for inviscid thermally perfect gas mixtures. To solve these reactive problems, detailed chemical kinetic mechanisms are employed with a splitting approach. The prolongation and restriction operators are modified to implement the adaptive mesh refinement algorithm on a mapped mesh. The developed solver is verified with several benchmark tests and is then used to simulate unsteady shock-induced combustion. The results show that the computed stand-off distance of waves and oscillation frequencies of mass fraction of products observed at the stagnation point are in good agreement with the results from experiments.

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“…All results presented in this study are obtained using the high-order finite-volume method (FVM) algorithm, Chord [5,8,7,6,17], which is built upon Chombo [3]. This numerical framework allows the behavior of SGS models to be studied in various flow regimes.…”

Section: Numerical Frameworkmentioning

confidence: 99%

“…It has been designed for achieving superior accuracy and performance for turbulence and combustion simulations on modern high-performance computing architecture. By design, Chord is fourth-order accurate in space and time for smooth flows [5,8,7,6,17]. For flows with strong discontinuities (e.g., shock or detonation waves), the PPM [4,15] limiter is used for stability.…”

Section: Chordmentioning

confidence: 99%

Assessing Stretched-Vortex Subgrid-Scale Models in Finite Volume Methods for Unbounded Turbulent Flows

Walters

Gao

Johansen

et al. 2020

Flow Turbulence Combust

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Large-eddy simulation provides a feasible route to solutions of higher physical fidelity than those offered by Reynolds-averaged Navier-Stokes simulations while avoiding the intractable computational expense of direct numerical simulations. While implicit large-eddy simulations have seen widespread use for high-speed turbulent flows, it is unclear how the underlying stability techniques of the computational algorithms interact with added explicit turbulence models. Specific questions include whether the former can substitute for the latter (implicit large-eddy simulation), whether the latter can by itself regularize an infinite-Reynolds number calculation, and the effect of simultaneously using both. In the context of a fourth-order finite-volume method, this study investigates the inter-

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A high-order adaptive algorithm for multispecies gaseous flows on mapped domains

Cited by 16 publications

References 23 publications

High‐order implicit‐explicit additive Runge–Kutta schemes for numerical combustion with adaptive mesh refinement

High‐order implicit‐explicit additive Runge–Kutta schemes for numerical combustion with adaptive mesh refinement

A solver for simulating shock-induced combustion on curvilinear adaptive meshes

Assessing Stretched-Vortex Subgrid-Scale Models in Finite Volume Methods for Unbounded Turbulent Flows

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