17 results about "Heat equation" patented technology

The invention discloses a decision control system and method based on temperature field and atmosphere analysis, and relates to the technical field of intelligent control. A monitoring module in the system obtains a temperature set and a gas concentration set; the trend analysis module constructs a three-dimensional model and establishes a coordinate system, a variation function is combined with a Kriging equation to supplement a temperature set to generate an expanded temperature set, the three-dimensional model is discretized into a plurality of nodes and is matched with points in the expanded temperature set through nearest neighbor search, a heat conduction equation and a convection boundary are set, and a finite element matrix equation set is constructed; solving to obtain a temperature field model and carrying out statistics to generate a temperature trend curve; a decision module compares the temperature trend curve, the gas concentration set and a process standard to obtain an abnormal section number, and analyzes a section temperature difference and a concentration error vector of the abnormal section number by adopting a fuzzy PID control algorithm to generate an adjustment vector; and the execution module performs automatic adjustment based on the adjustment vector, so that intelligent decision adjustment based on temperature field and atmosphere conjoint analysis is realized.

The invention provides an unconventional oil and gas reservoir heat-fluid-solid coupling numerical simulation method and system. The method comprises the steps that a multiphase numerical model of a coupling temperature field, a seepage field and a stress field is built; the multiphase numerical model is integrated with a Cahn-Hilliard equation, a heat conduction equation, a continuity equation, a Navier-Stokes equation and a mechanical equilibrium equation; determining a model computational domain of the multiphase numerical model; performing grid discretization processing on the model calculation domain and performing grid refinement processing on the peripheries of the mass flow inlet and the pressure outlet to obtain a plurality of grid units; inputting the environmental parameters and the initial condition parameters into the multiphase numerical model, controlling the multiphase numerical model to perform discrete calculation in each grid unit, judging whether a convergence condition is met or not, and if yes, updating the physical property parameters of the multiphase fluid according to the current temperature and pressure, and outputting a numerical simulation result of the unconventional oil and gas reservoir. According to the invention, the productivity prediction deviation can be reduced.

The application provides an unconventional oil and gas reservoir thermal fluid-solid coupling numerical simulation method and system, and the method comprises the following steps: constructing a multiphase numerical model coupling a temperature field, a seepage field and a stress field; the multiphase numerical model integrates a Cahn-Hilliard equation, a heat conduction equation, a continuity equation, a Navier-Stokes equation and a mechanical equilibrium equation; determining a model calculation domain of the multiphase numerical model; performing grid discretization processing on the model calculation domain and performing grid refinement processing on the periphery of a mass flow inlet and a pressure outlet, thereby obtaining a plurality of grid units; inputting environmental parameters and initial condition parameters into the multiphase numerical model, controlling the multiphase numerical model to perform discrete calculation in each grid unit, judging whether a convergence condition is met, if the convergence condition is met, updating physical property parameters of a multiphase fluid according to a current temperature and pressure, and outputting a numerical simulation result of the unconventional oil and gas reservoir. The application can reduce the production capacity prediction deviation.

The present invention relates to the field of energy system modeling and operation analysis. Disclosed is an analytical method suitable for dynamic analysis of a natural gas network, comprising: establishing a natural gas dynamic transmission model according to a conservation law equation of natural gas transmission, and reconstructing the natural gas dynamic transmission model into a natural gas dynamic heat conduction equation; using a method of variation of parameters to convert the natural gas dynamic heat conduction equation into a system of partial differential equations having homogeneous boundary conditions; determining a general analytic expression of the system of partial differential equations under a constant pressure boundary condition; and on the basis of the superposition property of natural gas transmission, an initial condition and boundary conditions, constructing a practical analytic expression of the natural gas dynamic transmission model based on the general analytic expression. In the present invention, the analytical method for dynamic analysis of the natural gas network is directly constructed, and compared with a conventional numerical method, avoids an approximate error and numerical dispersion dissipation; and a discrete process is avoided in solving, greatly improving the calculation efficiency and the solving precision of the dynamic analysis of the natural gas network.

The present invention discloses a decision-making control system and method based on temperature field and atmosphere analysis, which relates to the field of intelligent control technology. In the system, a monitoring module obtains a temperature set and a gas concentration set; a trend analysis module constructs a three-dimensional model and establishes a coordinate system, a variation function combines with a Kriging equation to supplement the temperature set to generate an extended temperature set, a discrete three-dimensional model is a plurality of nodes and is matched with points in the extended temperature set through nearest neighbor search, a heat conduction equation and a convection boundary are set and a finite element matrix equation group is constructed, the temperature field model is obtained by solving and a temperature trend curve is statistically generated; a decision module compares the temperature trend curve, the gas concentration set and the process standard to obtain an abnormal segment number, and adopts a fuzzy PID control algorithm to analyze the segment temperature difference and the concentration error vector of the abnormal segment number to generate an adjustment vector; an execution module automatically adjusts based on the adjustment vector, and realizes intelligent decision adjustment based on the joint analysis of the temperature field and the atmosphere.

The application provides a kind of calculation method, system and computer equipment for fluid-structure coupling heat transfer.For the problem that existing weak coupling algorithm long tail iteration converges slowly in later stage, a two-stage decoupling acceleration strategy is proposed.In the first stage, fluid-solid weak coupling algorithm is iterated, and an early truncation mechanism is introduced: when the global temperature rise has not finally converged, but the convective heat transfer coefficient of the interface reaches a stable convergence state first, stop the fluid-structure two-way iteration and extract the current convective heat transfer coefficient;In the second stage, the convective heat transfer coefficient is applied as a thermal boundary condition to the solid calculation domain, and the flow equation operation is stopped, and the heat conduction equation of the solid is solved in a one-way decoupling state until complete steady state.The application skillfully utilizes the space-time difference of the convergence speed of the characteristic physical quantity, eliminates the redundant iteration without losing the engineering precision, and greatly improves the solving efficiency of heat transfer simulation.

The invention discloses a deep learning driven heat conduction equation intelligent analysis method and system. The system comprises a heat conduction initialization unit, an equation constraint analysis unit, a graph neural network correction unit, a hotspot analysis unit and a parameter updating unit. Constructing a thermal generation rate model based on the working load matrix and the power matrix of the function node, and initializing a diffusion coefficient tensor according to thermal design information; generating a first heat distribution satisfying a heat conduction equation constraint through the encoder layer, the decoder layer and the heat conduction differential constraint layer; processing the function node topological structure by adopting a graph neural network, obtaining corrected heat distribution through a diffusion model, and correcting to obtain second heat distribution; analyzing the deviation degree of the second heat distribution and the heat conduction equation in real time, and identifying potential hot spots; and updating neural network parameters through an incremental learning mechanism. The method solves the problem that the calculation precision and calculation efficiency of numerical solution of the heat conduction equation are affected by numerical dissipation and sensor data sparseness introduced by discretization.

The invention relates to a thermoelastic analysis method for a laminated hollow column containing a weak interface, which comprises the following steps: establishing a fractional order heat conduction equation considering an interface effect for a laminated hollow column structure containing the weak interface, and establishing a motion equation, a constitutive equation and a boundary condition which do not consider physical power; performing dimensionless processing on the fractional order heat conduction equation, the motion equation, the constitutive equation and the boundary condition to obtain a control equation; performing Laplace transformation on the obtained control equation, and solving to obtain a mechanical property distribution result; the boundary condition establishing process specifically comprises the step of considering interlayer displacement continuity, heat flow density normal component continuity and temperature discontinuity. Compared with the prior art, by introducing establishment of the weak interface and the fractional order heat conduction equation and Laplacian transformation solution of the control equation, the accuracy of the solution result of the mechanical property distribution rule of the laminated hollow column containing the weak interface can be improved, and the model is more practical.

The invention discloses a concrete temperature field detection method based on adaptive gradient compensation, and relates to the field of concrete temperature field detection.The method comprises the steps that it is assumed that concrete is a homogeneous isotropic medium, and gradient distribution (three-dimensional non-uniform temperature gradient) of a three-dimensional temperature field is extracted from discrete temperature data; interpolation is carried out on discrete temperature data based on the local gradient amplitude, the interpolation weight can be dynamically adjusted according to the local gradient amplitude, and refined reconstruction of the nonlinear temperature field is achieved; the interpolation result and the constraint of the Fourier heat conduction equation are combined to construct the target function residual error so as to obtain the target function, a dual correction mechanism of data driving and physical law can be formed, the extrapolation reliability is remarkably improved, and the accurate concrete temperature field is obtained through solving.

Apparatus, computer-readable medium, and method for optimal delivery of one or more satellite effects via reverse time heat equation isomorphism including constructing a generalized formulation of the heat equation corresponding to a commander's intent for delivery of the one or more satellite effects, performing a separation of variables to decouple a plurality of variables into a plurality of corresponding separated equations, solving the plurality of separated equations to produce candidate solutions, applying boundary conditions to each candidate solution, filtering the candidate solutions to mitigate ill-posedness of solving the inverse of the heat equation, assessing formal differences between the candidate solutions and the inverse of the heat equation, and generating an optimized schedule of the one or more satellite effects based on the assessment of the formal differences of the candidate solutions.

The invention provides a multi-physics coupling simulation method and system for reverse pouring of a tunnel arch wall. The method comprises the steps that a two-dimensional computational domain is constructed and discretized; a Herschel-Bulkley model containing a thixotropic recovery mechanism and a first-order differential equation are adopted to describe the shear stress and thixotropic evolution of the concrete; based on an Arrhenius model and a heat conduction equation, establishing a coupling relationship between the temperature, the hydration degree and the rheological parameters; solving a flow field by an explicit projection method; a VOF-PLIC algorithm is adopted to track a concrete-air interface; calculating template side pressure by combining a flow field and stress, and outputting a distribution curve and an extreme value; dynamically controlling the step length according to a CFL criterion and circulating to a set height or terminating; the system comprises a modeling module, a material model module, a thermal-chemical coupling module, a flow field solving module, an interface tracking module, a side pressure evaluation module and a time control module. According to the method, the multi-field coupling effect is integrated, and the accuracy of prediction and evaluation of the whole reverse pouring process is improved.

The present invention discloses an intelligent analysis method and system for heat conduction equations driven by deep learning, including a heat conduction initialization unit, an equation constraint analysis unit, a graph neural network correction unit, a hot spot analysis unit, and a parameter update unit. A heat generation rate model is constructed based on the workload matrix and power matrix of functional nodes, and the diffusion coefficient tensor is initialized according to the thermal design information; through an encoder layer, a decoder layer, and a heat conduction differential constraint layer, a first heat distribution that satisfies the heat conduction equation constraints is generated; a graph neural network is used to process the topological structure of functional nodes, and a corrected heat distribution is obtained through a diffusion model, and a second heat distribution is corrected; the deviation degree between the second heat distribution and the heat conduction equation is analyzed in real time to identify potential hot spots; the neural network parameters are updated through an incremental learning mechanism. The present invention solves the problems that the numerical dissipation introduced by discretization and the sparse sensor data affect the calculation accuracy and calculation efficiency of the numerical solution of the heat conduction equation.

The application provides a kind of multi-physical field coupling simulation method and system for tunnel arch wall reverse pouring, method includes: constructing two-dimensional calculation domain and discretizing it;Adopt Herschel-Bulkley model containing thixotropy recovery mechanism and first-order differential equation to describe concrete shear stress and thixotropic evolution;Based on Arrhenius model and heat conduction equation, the coupling relationship between temperature, hydration degree and rheological parameter is established;Solve flow field by explicit projection method;Adopt VOF-PLIC algorithm to track concrete-air interface;Combine flow field and stress calculation template side pressure, and output distribution curve and extreme value;According to CFL criterion, dynamically control step length and cycle to set height or terminate;System contains modeling, material model, thermal-hydro coupling, flow field solving, interface tracking, side pressure evaluation and time control module;The application integrates multi-field coupling effect, improves the accuracy of reverse pouring whole process prediction and evaluation.

The invention belongs to the technical field of electromagnetic protection, and discloses an electromagnetic protection material failure and crack evolution calculation method which comprises the following steps: establishing a free energy form for describing force heat and fracture response of an electromagnetic protection material; based on a Coleman-Nell process, analyzing and deducing a constitutive theory of electromagnetic, force, heat and fracture phase field coupling derived in a free energy form; combining a constitutive theory with a momentum conservation equation, a heat conduction equation, a fracture phase field evolution equation and a Maxwell equation set, and obtaining a solvable weak form of a total partial differential equation set based on a variational method; and analyzing, studying and judging the weak form, and developing a numerical solution method and a template. According to the method for calculating the failure and crack evolution of the electromagnetic protection material, the design level of the thermal protection material is improved, the development period of a new material is remarkably shortened, the cost is reduced, and conversion and application of the novel thermal protection material on a thermal protection system of a next-generation hypersonic aircraft are promoted.

The present application relates to the technical field of dam safety control, and specifically to a temperature field calculation method, device, electronic device and storage medium thereof. The temperature field calculation method obtains the temperature boundary of one side of the predicted part; and establishes a heat conduction mathematical model of the predicted part according to the heat conduction equation; obtains the measured temperature of at least one characteristic point located at the predicted part; performs parameter inversion on the thermal conductivity of the predicted part according to the measured temperature of the characteristic point to obtain the thermal conductivity of the predicted part; and obtains the temperature field distribution of the predicted part according to the thermal conductivity of the predicted part and the heat conduction mathematical model of the predicted part. The temperature field calculation method obtains the temperature field boundary conditions and obtains the thermal conductivity of the predicted part through parameter inversion, so as to more accurately determine the temperature field distribution of the dam, and analyze the problems existing in the dam more accurately according to the temperature field distribution.

The present application relates to the technical field of hot crack determination, and particularly relates to a kind of hot crack determination method of internal press-down of casting blank based on thermal coupling model, comprising using two-dimensional Fourier heat equation to calculate the solidification process of casting blank;Using equivalent specific heat capacity method to handle solidification latent heat;Calculate the center solid phase rate of the solidification process of casting blank;Calculate the average heat flux density of crystallizer stage, and the instantaneous heat flux density distributed along the casting direction of crystallizer;Thermal coupling model is constructed.The present application is based on thermal coupling model simulation, and determines whether the press-down process of continuous casting produces press-down hot crack.

This invention discloses a three-dimensional temperature analysis method for substrates containing randomly distributed irregularly distributed heat-generating vias, belonging to the field of microelectronics technology. The method includes: establishing a mathematical and physical model; based on the mathematical and physical model, using a step function to establish expressions for the thermal conductivity, volumetric heat capacity, and heat sources of the vias and chips within the substrate; establishing a three-dimensional heat conduction equation; obtaining eigenvalue equations with unknown coefficients in each dimension based on the three-dimensional heat conduction equation and the thermal model expression containing Fourier coefficients; solving for known eigenvalue equations based on the temperature boundary conditions of the substrate; updating the thermal model expression based on the known eigenvalue equations; and jointly solving for the thermal conductivity, volumetric heat capacity, heat source expression within the substrate, and the three-dimensional heat conduction equation to obtain the Fourier coefficients under the known eigenvalue equation combination corresponding to the eigenvalues ​​in each dimension, and substituting these coefficients into the updated thermal model expression to obtain the temperature distribution of the substrate.