A WLaSDI-based framework creates noise-robust latent surrogates for PDE-constrained optimization, deriving direct and adjoint gradients to achieve up to five orders of magnitude speedup on radiative transfer, Vlasov-Poisson, and Burgers benchmarks.
Journal of Computational Physics , volume =
9 Pith papers cite this work. Polarity classification is still indexing.
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math.NA 2 physics.flu-dyn 2 cs.LG 1 math.OC 1 physics.comp-ph 1 physics.plasm-ph 1 q-bio.QM 1verdicts
UNVERDICTED 9representative citing papers
A generalized flux-corrected transport limiter for systems of conservation laws enforces invariant domain preservation by expressing the high-order solution as a convex combination of low-order invariant-domain-preserving states, applicable to both explicit and implicit time discretizations.
A diffuse interface mixture formulation coupled to immersed boundary method enables simulation of oxygen transport and metabolism with deforming RBCs in straight and networked capillaries, indicating autonomous RBC regulation that produces homogeneous tissue oxygenation.
mLaSDI uses multi-stage residual decoder training with periodic activations to recover high-frequency details in latent space dynamics identification, yielding lower reconstruction and prediction errors than standard LaSDI for PDEs.
Finite-rate chemistry in hypersonic shock-wave/turbulent boundary-layer interaction produces a smaller separation bubble, lower wall heat flux, and lower temperatures than perfect-gas models at Me=6.4 and He=16.9 MJ/kg.
An a posteriori framework implemented in PyMHD estimates numerical dissipation in Alfvénic, dynamo, and MRI-driven MHD turbulence, showing it has distinct spectral and anisotropic properties from physical dissipation.
A new fourth-order conservative adaptive multiresolution average-interpolating wavelet upwind scheme is proposed for hyperbolic conservation laws in compressible flows, using asymmetric wavelets for upwind discretization and symmetric ones for adaptation.
foap4 shows that adaptive mesh refinement for Euler gas dynamics runs efficiently on GPUs via OpenACC and MPI even with small 8^3 or 16^3 cell blocks.
Uses MPRK solvers and WENO post-processing to optimize time-varying hyperparameters in existing COVID-19 models and reports 5-day forecasts within 10% error for a Ghana case study.
citing papers explorer
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Time-Dependent PDE-Constrained Optimization via Weak-Form Latent Dynamics
A WLaSDI-based framework creates noise-robust latent surrogates for PDE-constrained optimization, deriving direct and adjoint gradients to achieve up to five orders of magnitude speedup on radiative transfer, Vlasov-Poisson, and Burgers benchmarks.
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Invariant domain preserving limiting of time explicit and time implicit discretizations for systems of conservation laws
A generalized flux-corrected transport limiter for systems of conservation laws enforces invariant domain preservation by expressing the high-order solution as a convex combination of low-order invariant-domain-preserving states, applicable to both explicit and implicit time discretizations.
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Diffuse interface approach to oxygen transport and metabolism under blood flow dynamics in microcirculations
A diffuse interface mixture formulation coupled to immersed boundary method enables simulation of oxygen transport and metabolism with deforming RBCs in straight and networked capillaries, indicating autonomous RBC regulation that produces homogeneous tissue oxygenation.
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mLaSDI: Multi-stage latent space dynamics identification
mLaSDI uses multi-stage residual decoder training with periodic activations to recover high-frequency details in latent space dynamics identification, yielding lower reconstruction and prediction errors than standard LaSDI for PDEs.
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Effects of thermochemical modelling on a hypersonic shock-wave/turbulent boundary-layer interaction
Finite-rate chemistry in hypersonic shock-wave/turbulent boundary-layer interaction produces a smaller separation bubble, lower wall heat flux, and lower temperatures than perfect-gas models at Me=6.4 and He=16.9 MJ/kg.
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Characterization of Numerical Dissipation in Simulations of Magnetohydrodynamic Turbulence
An a posteriori framework implemented in PyMHD estimates numerical dissipation in Alfvénic, dynamo, and MRI-driven MHD turbulence, showing it has distinct spectral and anisotropic properties from physical dissipation.
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A Fourth-order Conservative Adaptive Multiresolution Wavelet Upwind Scheme for Compressible Flows
A new fourth-order conservative adaptive multiresolution average-interpolating wavelet upwind scheme is proposed for hyperbolic conservation laws in compressible flows, using asymmetric wavelets for upwind discretization and symmetric ones for adaptation.
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foap4: Adaptive mesh refinement with OpenACC, MPI, and p4est
foap4 shows that adaptive mesh refinement for Euler gas dynamics runs efficiently on GPUs via OpenACC and MPI even with small 8^3 or 16^3 cell blocks.
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Using Machine Learning to Enhance Hyperparameter Optimization in Pandemic Modeling: Case study of COVID-19 Dynamics in Ghana
Uses MPRK solvers and WENO post-processing to optimize time-varying hyperparameters in existing COVID-19 models and reports 5-day forecasts within 10% error for a Ghana case study.