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  <front>
    <journal-meta>
      <issn pub-type="ppub">1613-0073</issn>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Numerical modelling of engine operation with a variable state of compression</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Adam Ilnicki</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mariusz R. Rzasa</string-name>
          <email>m.rzasa@po.edu.pl</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Workshop</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Opole University of Technology</institution>
          ,
          <addr-line>5 Mikołajczyka street, Opole 45-758</addr-line>
          ,
          <country country="PL">Poland</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Opole University of Technology</institution>
          ,
          <addr-line>76 Proszkowska street, Opole 45-758</addr-line>
          ,
          <country country="PL">Poland</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The paper presents the modelling the engine operation with a variable state of compression with the use of the Reverse Engineering method and simulations of the phenomena with the use of the Ansys Fluent software package. The analysis and selection of appropriate combustion parameters directly affects the degree of fuel consumption in petrol engines. Less fuel consumption means not only lower operating costs but also less environmental pollution. Reverse engineering, Computational fluid dynamics CFD, Variable compression ratio VCR Proceedings ITTAP'2023: 3rd International Workshop on Information Technologies: Theoretical and Applied Problems, November 22-24, Proceedings</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>speed appears rational.
given by the formula:
where ...</p>
      <p>ηt – theoretical efficiency,
ε – compression ratio,
k – polytropic exponent.</p>
    </sec>
    <sec id="sec-2">
      <title>1. Introduction</title>
      <p>
        Bearing in mind the current need to care for the natural environment [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], one of the important factors
is the emission of exhaust gases. By reducing fuel consumption in internal combustion engines while
maintaining torque, operating costs and the amount of pollutants emitted are significantly reduced. One
of possible solutions is the employment of variable compressions ratio. Due to occurrence of engine
knocking at higher engine speeds, modern internal combustion engines have a compression ratio of
approximately 10:1. Use of a higher compression ratio (as much as 15:1) would be more beneficial in
the aspect of fuel consumption. Because higher compression ratios are dangerous to the engine,
especially at higher engine speeds, the concept of regulating the compression ratio depending on engine
The efficiency of an internal combustion engine operating according to Otto's theoretical cycle is
  = 1 −   −1
1
(1)
      </p>
      <p>
        Equation (1) shows that increasing the compression ratio of the engine will increase its efficiency.
Increasing the efficiency of the engine will reduce fuel consumption with the same dynamic parameters
of the engine or increase power and torque for the same amount of fuel supplied to the engine. Hence,
for many years, work has been carried out on constructions enabling dynamic change of the
compression ratio depending on the engine speed [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
      </p>
      <p>
        One of the solutions is the design of the SVC (Saab Variable Compression) engine [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. It uses a
variable angle of inclination of the motor head. Tilting the head by 4 degrees changes the compression
ratio from 14:1 to 8:1. The angle of inclination of the head is smoothly adjustable depending on the
      </p>
      <p>2020 Copyright for this paper by its authors.
CEUR</p>
      <p>ceur-ws.org
engine speed (Fig.1). For low engine speeds, the head is positioned vertically to the piston axis (Fig.1a).
In this position, the minimum volume of the combustion chamber is obtained. At the same time, this
results in a maximum compression ratio. As the engine speed increases, the head tilts away from the
piston axis (Fig.1b). Deviation of the cylinder head de-symmetrizes the combustion chamber, increasing
its volume. Increasing the volume of the combustion chamber while maintaining the same cubic
capacity results in lowering the compression ratio. The appropriate mechanism is responsible for the
appropriate adjustment of the tilt angle of the head. When tilting the head, the position of the crankshaft
remains unchanged</p>
      <p>
        A Variable Compression-Turbocharged (VCT) system was developed by a Japanese manufacturer
in cooperation with Nissan. This system was tested on a turbo-charged engine with displacement of
under 2000 cm3. This system allows for a smooth change in compression ratio in the spectrum ranging
from 14:1 to 8:1 [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. This range is similar to the previously described SVC system. However, in this
system compression ratio is adjusted not by regulating the cylinder head, but the piston and connecting
rod, as seen in fig. 2 [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. The base of the connecting rod has been supported by a guide. The guide
cooperates with an eccentric, transferring its motion to the base of the connecting rod. This in turn
changes the distance of the piston from the rotational center of the crankshaft.
      </p>
      <p>.</p>
      <p>
        A the Faculty of Mechanical Engineering and Aviation of Rzeszów University of Technology, a
variable compression ratio engine was constructed on the basis of a conventional 4 VD 14,5/12-1 SRW
type engine [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Variable compression ratio is achieved by means of movement of the cylinder head,
which is integrated with pistons. Position of the cylinder head changes in accordance with the direction
of piston movement. This is achieved with the use of a special bolt mechanism shown in figure 3.
Movement of the cylinder head is synchronized by a gearbox consisting of sprockets and a transmission
belt. Compression ratio is changed continuously and concurrently for all cylinders in the range from
19:1 to 9:1.
      </p>
      <p>
        The presented solutions require significant interference with the construction of the engine. This is
a costly solution, as it requires appropriate adaptation of motor production lines. Therefore, in the patent
[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], a solution with a wastegate was proposed that minimizes interference with the existing engine
design.
      </p>
      <p>
        The subject of this work is the solution described in patent application No. P.414750 of 10-11-2015
[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Working principle of the modeled engine is depicted in fig. 4. The main element which controls
and varieties the compression ratio is the blow-off valve placed in the cylinder head. The engine is
designed with a higher than typical compression ratio. When the engine is idling, the valve remains
closed, allowing to obtain a high effective compression ratio. At higher engine speeds the compression
ratio is lowered by means of the valve releasing a certain portion of the air from the combustion
chamber. The valve is opened at the initial phase of the compression stroke, directly after piston reaches
the bottom dead center. The blow-off valve is operated by an electronic system which cooperates with
the ECU and injection control unit.
      </p>
      <p>Zawór upustowy
Kanał upustowy</p>
    </sec>
    <sec id="sec-3">
      <title>2. Badania numeryczne</title>
      <p>Due to the need to enter the valve opening times and opening start times into the bypass valve control
system, it is necessary to determine the relationship between these times and engine revolutions. For
this purpose, a numerical model of the engine operation was developed, with the structure shown in
Fig. 4. A computer simulation should allow to verify the proposed design and determine optimum
opening and closing angles of the valve. Moreover, the simulation was used to determine critical engine
operation parameters. Those critical parameters include engine speed and compression ratio at which
engine knock will begin to occur. This data, along with flow parameters of the blow-off valve will allow
to properly program the Engine Control Unit. Flow analysis in engines is very important as gas flow
affects the efficiency of the engine.</p>
      <p>Numerical research was based on an existent geometry of the engine prototype. Ansys FLUENT
software with SpaceClaim and ICE (Fluent) modules was used to simulate engine operation. To ensure
that simulation data is in best possible agreement with reality, 3D scans of engine components were
performed to depict engine geometry as accurately as possible. A finite element mesh was generated
basing on obtained 3D scan data.</p>
      <p>The paper presents the issues related to the mapping of the shape and generation of the computational
mesh. Attention was drawn to the important elements of geometry that cause serious difficulties in
generating a computational mesh. The paper discusses ways of introducing appropriate simplifications
aimed at accelerating numerical calculations..</p>
    </sec>
    <sec id="sec-4">
      <title>3. Computational model</title>
      <p>In the first stage, a three-dimensional numerical image of the prototype engine had to be developed.
Since the basis for modeling is the existing prototype, it is necessary to reproduce its shape as faithfully
as possible so that in the future the results of the numerical analysis could be used to determine the
proper parameters of the prototype engine control system. In order to faithfully reproduce the shape of
the existing engine elements, the Reverse Engineering method was used. This method consists in 3D
scanning of existing elements, and then generating their vector equivalents on this basis..
a)</p>
      <p>Three-dimensional representations of main engine parts were obtained through 3D scanning (fig.5).
As can be seen, those representations contain many defects, lacking surface continuity. Therefore they
required further 3D modeling work to obtain continuous surfaces depicting shapes that are in agreement
with real shape of the engine components. Despite this, the use of 3D scanning allows to retain
proportions and basic dimensions of scanned elements, facilitating further modeling. Remaining
element surfaces were generated with the use of SpaceClaim software, which is part of the Ansys
FLUENT package.
3.1.</p>
    </sec>
    <sec id="sec-5">
      <title>Problems with generating surfaces describing engine elements</title>
      <p>In order to obtain a three-dimensional image of the basic engine components, the SpaceClaim
module was used. This module has tools for processing surface objects (Mesh). This mapping consists
in indicating characteristic points and creating a mesh with a given density, which brings the scanned
surface (gray) closer to the parameterized surface (green), which allows to create a solid (Fig.7).</p>
      <p>The surface generated by the software recreates the scanned object with accuracy greater than 10
m. The solid generated in this way is a matrix with several thousand characteristic points, which means
that further numerical calculations would require very high computing power. The solid generated in
this way is a matrix with several thousand characteristic points, which means that further numerical
calculations would require very high computing power, and it would often be impossible to carry out
calculations on such a complex object using the FEM method. Therefore, part geometry has to be
simplified in a way that allows to retain details significant for the accuracy of numerical calculations.
a) extrusion by leading curves</p>
      <p>Figure 8 shows two ways to simplify geometry available in SpaceClaim. A much better mapping is
obtained using the method of combining simple solids. Often this type of algorithm is not good enough,
because in some places the surfaces generated in this way may lead to incorrect generation of
computational meshes for the FEM method. In these areas, it is necessary to enter the surface manually.
However, this requires some experience from the operator</p>
      <p>In order to verify the correctness of the generated surfaces, the SpaceClaim module has a rich library
of validation tools. Using the tools, it is possible to detect unnecessarily divided curves, overlapping
solids, find small or missing surfaces. This type of test at the initial design stage will allow for
significant time savings in subsequent modeling stages
3.2.</p>
    </sec>
    <sec id="sec-6">
      <title>Numerical assumptions</title>
      <p>The next stage of modeling works is putting the individual elements into an assembly and giving
them specified constraints associated with boundary conditions.</p>
      <p>A very helpful tool is the PortFlow module that allows you to quickly verify the correctness of the
operations performed. It simulates the calculations without modeling the combustion of the mixture
the calculations are made only for the gas flow. This allows you to quickly check the correctness of the
earlier stages, and by radically reducing the modeled phenomena, it significantly shortens the
verification process</p>
      <p>The Design Modeler module in Ansys FLUENT software was included with this purpose in mind.
Working with this module is largely automated, requiring the user to specify units, import geometries
and specify characteristic surfaces, solids or points. With the use of Decompose command, the software
rebuilds the imported geometry for further use in accordance to prior user specification. The module
deletes parts of the geometry, while simplifying or adding others, basing on imposed constraints.
Therefore, obtained part geometries can differ from base ones, depending on assumed constraints.</p>
      <p>An example of geometry for Port Flow simulation was depicted in fig 8. In comparison, a piston
model intended for more complex “Combustion Simulation” analysis will be rebuilt to a more complex
shape, as depicted in fig. 9. At the design stage, it is recommended to check the validity of previously
developed geometry by running several different analyses, with the use of “Decompose” command,
which checks key parameters of analyzed solids.</p>
    </sec>
    <sec id="sec-7">
      <title>Generation of finite element mesh</title>
      <p>A very important and relatively difficult step is the FEM mesh generation. The Meshing Module in
Ansys FLUENT is designed for this purpose. This stage of work is considered difficult, as many
geometry errors become evident here. An FEM mesh generated for geometry seen in fig. 8 is depicted
in fig. 10. Only at first look the mesh seems correctly generated, however after checking mesh validity
with the use of „Orthogonal Quality” and „Skewness" commands, it can be seen that the mesh
possessed numerous faults, which generate errors in further computations, making correct analysis
impossible.</p>
      <p>Example of mesh errors are depicted in figure 12. They are mainly associated with the near-surface
layer. In analysis of flow phenomena, it is especially difficult to model sharp edges. Leaving these areas
in this form will significantly prolong the calculations, and in extreme cases will lead to divergence of
numerical calculations or will generate division by zero errors. However, on a macro scale, they do not
have a major impact on the nature of the fluid flow. Therefore, it is recommended to round the edges
wherever possible.</p>
      <p>.</p>
      <p>Due to the time of calculations, a number of tests were carried out involving the introduction of
simplifications of the geometry that do not significantly affect the quality of the numerical simulation.
On this basis, it was found that sufficiently good results are obtained for a relatively simple geometry,
while maintaining accuracy in mapping the volume of the combustion chamber, compression ratio,
piston diameter, diameters of the intake and exhaust channels. Keeping these criteria is sufficient to
achieve the goal of computer simulation, namely to determine the critical operating parameters of the
internal combustion engine. To achieve this goal, it was sufficient to simplify the shape of the
combustion chamber to the form shown in Figure 13.</p>
      <p>If more accurate results are obtained, a more accurate mapping of the combustion chamber is
necessary (Fig. 14a). This solution results in unnecessary density of the mesh on the sharp curves of the
inlet channels. Hence, the simplification consisting in smoothing the arcs of the inlet channels (Fig.
14b) does not cause significant differences in the simulation results, and significantly speeds up the
calculations.</p>
      <p>a)
4. Podsumowanie i wyniki badań</p>
      <p>The problems of modeling flow problems in internal combustion engines discussed in the paper
were used to develop a numerical model of the engine. This model makes it possible to calculate the
compression parameters in the engine chamber. On this basis, it is possible to determine the critical
parameters of the engine's operation. Figure 15 shows exemplary calculation results. The results were
related to the angle of rotation of the crankshaft. Figure 15a shows the cycle of movement of the piston
and the intake and discharge valve. Figure 15b shows the maximum values of pressure and temperature
in the cylinder for the cycle defined in this way. On this basis, it is possible to analyze changes in
parameters inside the engine chamber and determine the times related to controlling the discharge valve
so as not to lead to premature ignition in the engine combustion chamber</p>
    </sec>
    <sec id="sec-8">
      <title>5. Acknowledgements</title>
      <p>The work was financed from the funds under Priority Axis I - Innovations in the economy, Measure
1.1 Innovations in enterprises, of the Regional Operational Program for the Opolskie Voivodeship for
the years 2014-2020. "R&amp;D works on how to effectively power the internal combustion engine"
decision no. RPOP.01.01.00-16-063/16-00.</p>
    </sec>
    <sec id="sec-9">
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