A conservative, thermodynamically consistent numerical approach for low Mach number combustion. Part I: Single-level integration

Nonaka, A.; Day, Marc; Bell, John B.

doi:10.1080/13647830.2017.1390610

Cited by 41 publications

(59 citation statements)

References 42 publications

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“…The AMLSDC simulation with the RNS code are compared to results of low-Machnumber code PeleLM discussed above [20] and a high-order DNS code published in [18]. For this low Mach number flow (M ≈ 0.13) we expect acoustic waves to have a negligible effect on the dynamics.…”

Section: Two-dimensional Dimethyl Ether Jetmentioning

confidence: 98%

“…where L is the length of the computational domain and the superscript u corresponds to values in the unburnt region. In order to provide initial data for the RNS code, the premixed methane/air flame is first computed with the low-Mach number solver PeleLM [20]. The low Mach number approach allows larger time steps, leading to faster convergence in cases where the low Mach number assumption is justified [21][22][23].…”

Section: One-dimensional Premixed Methane/air Flamementioning

confidence: 99%

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A fourth-order adaptive mesh refinement algorithm for the multicomponent, reacting compressible Navier–Stokes equations

Emmett

Motheau

Zhang

et al. 2019

Combustion Theory and Modelling

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In this paper we present a fourth-order in space and time block-structured adaptive mesh refinement algorithm for the compressible multicomponent reacting Navier-Stokes equations. The algorithm uses a finite volume approach that incorporates a fourth-order discretization of the convective terms. The time stepping algorithm is based on a multi-level spectral deferred corrections method that enables explicit treatment of advection and diffusion coupled with an implicit treatment of reactions. The temporal scheme is embedded in a block-structured adaptive mesh refinement algorithm that includes subcycling in time with spectral deferred correction sweeps applied on levels. Here we present the details of the multi-level scheme paying particular attention to the treatment of coarse-fine boundaries required to maintain fourth-order accuracy in time. We then demonstrate the convergence properties of the algorithm on several test cases including both nonreacting and reacting flows. Finally we present simulations of a vitiated dimethyl ether jet in 2D and a turbulent hydrogen jet in 3D, both with detailed kinetics and transport.

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Section: Two-dimensional Dimethyl Ether Jetmentioning

confidence: 98%

Section: One-dimensional Premixed Methane/air Flamementioning

confidence: 99%

A fourth-order adaptive mesh refinement algorithm for the multicomponent, reacting compressible Navier–Stokes equations

Emmett

Motheau

Zhang

et al. 2019

Combustion Theory and Modelling

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“…The present strategy builds upon the MISDC methodology developed in Nonaka et al [32,43]. As a brief reminder, the spectral deferred correction (SDC) method [44] solves a system of ordinary differential equation: using the integral form:…”

Section: Misdc Strategymentioning

confidence: 99%

A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields

Esclapez

Ricchiuti

Bell

et al. 2019

Combustion Theory and Modelling

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We propose an algorithm for low Mach number reacting flows subjected to electric field that includes the chemical production and transport of charged species. This work is an extension of a multi-implicit spectral deferred correction (MISDC) algorithm designed to advance the conservation equations in time at scales associated with advective transport. The fast and nontrivial interactions of electrons with the electric field are treated implicitly using a Jacobian-Free Newton Krylov approach for which a preconditioning strategy is developed. Within the MISDC framework, this enables a close and stable coupling of diffusion, reactions and dielectric relaxation terms with advective transport and is shown to exhibit second-order convergence in space and time. The algorithm is then applied to a series of steady and unsteady problems to demonstrate its capability and stability. Although developed in a one-dimensional case, the algorithmic ingredients are carefully designed to be amenable to multidimensional applications.

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“…Similarly to §3.2.5, once u n+1 , p n+1/2 2 and ∇p n+1/2 2 are evaluated with Eqs. (39), (40) and (41), respectively, the variables are synchronized over the levels so as to take into account the contribution of finest levels to the coarser low-Mach-number level l max comp+1 .…”

Section: Step 6: Time Advancement Of the Low-mach-number Equations: Mmentioning

confidence: 99%

A Hybrid Adaptive Low-Mach-Number/Compressible Method for the Euler Equations

Motheau

Duarte

Almgren

et al. 2017

23rd AIAA/CEAS Aeroacoustics Conference

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Flows in which the primary features of interest do not rely on high-frequency acoustic effects, but in which long-wavelength acoustics play a nontrivial role, present a computational challenge. Integrating the entire domain with low-Mach-number methods would remove all acoustic wave propagation, while integrating the entire domain with the fully compressible equations can in some cases be prohibitively expensive due to the CFL time step constraint. For example, simulation of thermoacoustic instabilities might require fine resolution of the fluid/chemistry interaction but not require fine resolution of acoustic effects, yet one does not want to neglect the long-wavelength wave propagation and its interaction with the larger domain.The present paper introduces a new multi-level hybrid algorithm to address these types of phenomena. In this new approach, the fully compressible Euler equations are solved on the entire domain, potentially with local refinement, while their low-Mach-number counterparts are solved on subregions of the domain with higher spatial resolution. The finest of the compressible levels communicates inhomogeneous divergence constraints to the coarsest of the low-Machnumber levels, allowing the low-Mach-number levels to retain the long-wavelength acoustics. The performance of the hybrid method is shown for a series of test cases, including results from a simulation of the aeroacoustic propagation generated from a Kelvin-Helmholtz instability in low-Mach-number mixing layers. It is demonstrated that compared to a purely compressible approach, the hybrid method allows time-steps two orders of magnitude larger at the finest level, leading to an overall reduction of the computational time by a factor of 8.

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A conservative, thermodynamically consistent numerical approach for low Mach number combustion. Part I: Single-level integration

Cited by 41 publications

References 42 publications

A fourth-order adaptive mesh refinement algorithm for the multicomponent, reacting compressible Navier–Stokes equations

A fourth-order adaptive mesh refinement algorithm for the multicomponent, reacting compressible Navier–Stokes equations

A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields

A Hybrid Adaptive Low-Mach-Number/Compressible Method for the Euler Equations

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