Toward transient finite element simulation of thermal deformation of machine tools in real-time

Finite element models without simplifying assumptions can accurately describe the spatial and temporal distribution of heat in machine tools as well as the resulting deformation. In principle, this allows to correct for displacements of the Tool Centre Point and enables high precision manufacturing. However, the computational cost of FE models and restriction to generic algorithms in commercial tools like ANSYS prevents their operational use since simulations have to run faster than real-time. For the case where heat diffusion is slow compared to machine movement, we introduce a tailored implicit–explicit multi-rate time stepping method of higher order based on spectral deferred corrections. Using the open-source FEM library DUNE, we show that fully coupled simulations of the temperature field are possible in real-time for a machine consisting of a stock sliding up and down on rails attached to a stand

Using time-parallel methods for the simulation of multi-domain parabolic equations

We consider parabolic partial differential equations defined on multiple domains. These domains are coupled at the boundary by Robin boundary conditions where the region of overlap is time-dependent. The rate of change of the geometry is much faster than the time scale of heat conduction. We apply the spectral deferred correction approach as well as a splitting in slow and fast components to this type of problem. We use the PFASST concept to obtain a parallel implementation of these concepts. One basic ingredient of PFASST are the underlying spectral deferred correction methods. Spectral deferred correction (SDC) methods start from a provisional solution. Using a simpler time integrator, this provisional solution will be iteratively improved. There are several adaptions of SDC for multi-rate problems. MISDC methods treat every scale independently in the sweeper and allows to construct high-order multi-rate methods. Typically, slow processes are treated explicitly and fast processes implicitly. We adapt the idea of the MISDC methods for the coupled heat equation and treat the diffusion part implicitly, but the fast sources in an explicit manner to avoid implicit solves for the geometry. The method will be analyzed with respect to order and stability. Finally, we present numerical results.Non UBCUnreviewedAuthor affiliation: Technische Universität DresdenFacult

Detection of MCPG metabolites in horses with atypical myopathy.

Atypical myopathy (AM) in horses is caused by ingestion of seeds of the Acer species (Sapindaceae family). Methylenecyclopropylacetyl-CoA (MCPA-CoA), derived from hypoglycin A (HGA), is currently the only active toxin in Acer pseudoplatanus or Acer negundo seeds related to AM outbreaks. However, seeds or arils of various Sapindaceae (e.g., ackee, lychee, mamoncillo, longan fruit) also contain methylenecyclopropylglycine (MCPG), which is a structural analogue of HGA that can cause hypoglycaemic encephalopathy in humans. The active poison formed from MCPG is methylenecyclopropylformyl-CoA (MCPF-CoA). MCPF-CoA and MCPA-CoA strongly inhibit enzymes that participate in β-oxidation and energy production from fat. The aim of our study was to investigate if MCPG is involved in Acer seed poisoning in horses. MCPG, as well as glycine and carnitine conjugates (MCPF-glycine, MCPF-carnitine), were quantified using high-performance liquid chromatography-tandem mass spectrometry of serum and urine from horses that had ingested Acer pseudoplatanus seeds and developed typical AM symptoms. The results were compared to those of healthy control horses. For comparison, HGA and its glycine and carnitine derivatives were also measured. Additionally, to assess the degree of enzyme inhibition of β-oxidation, several acyl glycines and acyl carnitines were included in the analysis. In addition to HGA and the specific toxic metabolites (MCPA-carnitine and MCPA-glycine), MCPG, MCPF-glycine and MCPF-carnitine were detected in the serum and urine of affected horses. Strong inhibition of β-oxidation was demonstrated by elevated concentrations of all acyl glycines and carnitines, but the highest correlations were observed between MCPF-carnitine and isobutyryl-carnitine (r = 0.93) as well as between MCPA- (and MCPF-) glycine and valeryl-glycine with r = 0.96 (and r = 0.87). As shown here, for biochemical analysis of atypical myopathy of horses, it is necessary to take MCPG and the corresponding metabolites into consideration